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Solve the system: 9x + 6y = -37 3x + 4y = -77/3
9x + 6y = -37 3x + 4y = -77/3 Using elimination 3*(9x + 6y = -37) 9*(3x + 4y = -77/3) 27x + 18y = -111 27x + 36y = -231 Subtract equations -18y = 120 y = 120/-18 y = -20/3 Substitute y 9x + 6(-20/3) = -37 9x = 3 x = 3/9 x = 1/3
Solve simultaneously: 3x + 5y = -10 6x + 5y = -10
3x + 5y = -10 6x + 5y = -10 Using elimination 6*(3x + 5y = -10) 3*(6x + 5y = -10) 18x + 30y = -60 18x + 15y = -30 Subtract equations 15y = -30 y = -30/15 y = -2 Substitute y 3x + 5(-2) = -10 3x = 0 x = 0/3 x = 0
Find the solution to x^2 - 2x + 19/100 = 0
x^2 - 2x + 19/100 = 0 (x - 19/10)(x - 1/10) = 0 x - 19/10 = 0 or x - 1/10 = 0 x = 19/10 x = 1/10
Solve quickly: 5x + 10/3 = 0
5x + 10/3 = 0 5x = -10/3 x = -10/3 / 5 x = -2/3
What value of x satisfies x^2 + 7x + 110/9 = 0
x^2 + 7x + 110/9 = 0 (x - -11/3)(x - -10/3) = 0 x - -11/3 = 0 or x - -10/3 = 0 x = -11/3 x = -10/3
Solve the equations: 4x + 4y = 16/9 3x + 10y = -86/9
4x + 4y = 16/9 3x + 10y = -86/9 Using elimination 3*(4x + 4y = 16/9) 4*(3x + 10y = -86/9) 12x + 12y = 16/3 12x + 40y = -344/9 Subtract equations -28y = 392/9 y = 392/9/-28 y = -14/9 Substitute y 4x + 4(-14/9) = 16/9 4x = 8 x = 8/4 x = 2
Find x in x^2 - 1/10x - 9/10 = 0
x^2 - 1/10x - 9/10 = 0 (x - 1)(x - -9/10) = 0 x - 1 = 0 or x - -9/10 = 0 x = 1 x = -9/10
Determine x in x^2 - 28/15x - 32/15 = 0
x^2 - 28/15x - 32/15 = 0 (x - -4/5)(x - 8/3) = 0 x - -4/5 = 0 or x - 8/3 = 0 x = -4/5 x = 8/3
Find x in 1x + 3/8 = 0
1x + 3/8 = 0 1x = -3/8 x = -3/8 / 1 x = -3/8
Solve quickly: x^2 + 73/10x + 26/5 = 0
x^2 + 73/10x + 26/5 = 0 (x - -13/2)(x - -4/5) = 0 x - -13/2 = 0 or x - -4/5 = 0 x = -13/2 x = -4/5
What value of x satisfies x^2 - 107/12x + 15 = 0
x^2 - 107/12x + 15 = 0 (x - 9/4)(x - 20/3) = 0 x - 9/4 = 0 or x - 20/3 = 0 x = 9/4 x = 20/3
Find x in x^2 - 37/90x - 7/9 = 0
x^2 - 37/90x - 7/9 = 0 (x - 10/9)(x - -7/10) = 0 x - 10/9 = 0 or x - -7/10 = 0 x = 10/9 x = -7/10
What value of x satisfies x^3 + 49/60x^2 - 41/5x + 119/60 = 0
x^3 + 49/60x^2 - 41/5x + 119/60 = 0 (x - 1/4)(x - -17/5)(x - 7/3) = 0 x - 1/4 = 0 x - -17/5 = 0 x - 7/3 = 0 x = 1/4 x = -17/5 x = 7/3
Find x and y such that 3x + 3y = -69/2 9x + 10y = -211/2
3x + 3y = -69/2 9x + 10y = -211/2 Using elimination 9*(3x + 3y = -69/2) 3*(9x + 10y = -211/2) 27x + 27y = -621/2 27x + 30y = -633/2 Subtract equations -3y = 6 y = 6/-3 y = -2 Substitute y 3x + 3(-2) = -69/2 3x = -57/2 x = -57/2/3 x = -19/2
Solve simultaneously: 7x + 8y = -547/7 8x + 10y = -626/7
7x + 8y = -547/7 8x + 10y = -626/7 Using elimination 8*(7x + 8y = -547/7) 7*(8x + 10y = -626/7) 56x + 64y = -4376/7 56x + 70y = -626 Subtract equations -6y = 6/7 y = 6/7/-6 y = -1/7 Substitute y 7x + 8(-1/7) = -547/7 7x = -77 x = -77/7 x = -11
Find the solution to x^2 + 19/5x + 18/5 = 0
x^2 + 19/5x + 18/5 = 0 (x - -9/5)(x - -2) = 0 x - -9/5 = 0 or x - -2 = 0 x = -9/5 x = -2
Determine x in 1x - 17 = 0
1x - 17 = 0 1x = 17 x = 17 / 1 x = 17
Solve quickly: x^3 - 151/6x^2 + 625/6x - 50/3 = 0
x^3 - 151/6x^2 + 625/6x - 50/3 = 0 (x - 5)(x - 20)(x - 1/6) = 0 x - 5 = 0 x - 20 = 0 x - 1/6 = 0 x = 5 x = 20 x = 1/6
Find the solution to x^2 + 37/24x + 11/48 = 0
x^2 + 37/24x + 11/48 = 0 (x - -11/8)(x - -1/6) = 0 x - -11/8 = 0 or x - -1/6 = 0 x = -11/8 x = -1/6
Solve the system: 3x + 7y = 437/4 3x + 2y = 157/4
3x + 7y = 437/4 3x + 2y = 157/4 Using elimination 3*(3x + 7y = 437/4) 3*(3x + 2y = 157/4) 9x + 21y = 1311/4 9x + 6y = 471/4 Subtract equations 15y = 210 y = 210/15 y = 14 Substitute y 3x + 7(14) = 437/4 3x = 45/4 x = 45/4/3 x = 15/4
Find x and y such that 3x + 9y = 69/5 1x + 9y = 74/5
3x + 9y = 69/5 1x + 9y = 74/5 Using elimination 1*(3x + 9y = 69/5) 3*(1x + 9y = 74/5) 3x + 9y = 69/5 3x + 27y = 222/5 Subtract equations -18y = -153/5 y = -153/5/-18 y = 17/10 Substitute y 3x + 9(17/10) = 69/5 3x = -3/2 x = -3/2/3 x = -1/2
Solve 6x + 108/5 = 0
6x + 108/5 = 0 6x = -108/5 x = -108/5 / 6 x = -18/5
Find the solution to 2x + 26/5 = 0
2x + 26/5 = 0 2x = -26/5 x = -26/5 / 2 x = -13/5
Determine x in 4x + 8 = 0
4x + 8 = 0 4x = -8 x = -8 / 4 x = -2
Compute the solution of x^2 + 4/7x - 20/7 = 0
x^2 + 4/7x - 20/7 = 0 (x - 10/7)(x - -2) = 0 x - 10/7 = 0 or x - -2 = 0 x = 10/7 x = -2
Solve the equations: 4x + 8y = -64/3 9x + 3y = 12
4x + 8y = -64/3 9x + 3y = 12 Using elimination 9*(4x + 8y = -64/3) 4*(9x + 3y = 12) 36x + 72y = -192 36x + 12y = 48 Subtract equations 60y = -240 y = -240/60 y = -4 Substitute y 4x + 8(-4) = -64/3 4x = 32/3 x = 32/3/4 x = 8/3
Find the solution to x^3 + 103/45x^2 - 110/27x - 136/135 = 0
x^3 + 103/45x^2 - 110/27x - 136/135 = 0 (x - -17/5)(x - 4/3)(x - -2/9) = 0 x - -17/5 = 0 x - 4/3 = 0 x - -2/9 = 0 x = -17/5 x = 4/3 x = -2/9
Find x in 2x + 1 = 0
2x + 1 = 0 2x = -1 x = -1 / 2 x = -1/2
Find x for x^3 - 137/24x^2 + 175/24x - 11/6 = 0
x^3 - 137/24x^2 + 175/24x - 11/6 = 0 (x - 4)(x - 1/3)(x - 11/8) = 0 x - 4 = 0 x - 1/3 = 0 x - 11/8 = 0 x = 4 x = 1/3 x = 11/8
Find x for x^3 + 47/10x^2 - 46/5x - 42/5 = 0
x^3 + 47/10x^2 - 46/5x - 42/5 = 0 (x - 2)(x - -7/10)(x - -6) = 0 x - 2 = 0 x - -7/10 = 0 x - -6 = 0 x = 2 x = -7/10 x = -6
What value of x satisfies x^3 - 103/42x^2 - 2/21x + 65/42 = 0
x^3 - 103/42x^2 - 2/21x + 65/42 = 0 (x - 1)(x - 13/6)(x - -5/7) = 0 x - 1 = 0 x - 13/6 = 0 x - -5/7 = 0 x = 1 x = 13/6 x = -5/7
Solve x^3 + 103/18x^2 + 22/9x - 35/6 = 0
x^3 + 103/18x^2 + 22/9x - 35/6 = 0 (x - 7/9)(x - -3/2)(x - -5) = 0 x - 7/9 = 0 x - -3/2 = 0 x - -5 = 0 x = 7/9 x = -3/2 x = -5
Solve x^2 + 13/63x - 2/21 = 0
x^2 + 13/63x - 2/21 = 0 (x - 2/9)(x - -3/7) = 0 x - 2/9 = 0 or x - -3/7 = 0 x = 2/9 x = -3/7
Solve simultaneously: 4x + 7y = 74/9 5x + 8y = 91/9
4x + 7y = 74/9 5x + 8y = 91/9 Using elimination 5*(4x + 7y = 74/9) 4*(5x + 8y = 91/9) 20x + 35y = 370/9 20x + 32y = 364/9 Subtract equations 3y = 2/3 y = 2/3/3 y = 2/9 Substitute y 4x + 7(2/9) = 74/9 4x = 20/3 x = 20/3/4 x = 5/3
Find the solution to x^2 - 269/90x + 187/90 = 0
x^2 - 269/90x + 187/90 = 0 (x - 11/10)(x - 17/9) = 0 x - 11/10 = 0 or x - 17/9 = 0 x = 11/10 x = 17/9
Find x for x^3 + 58/5x^2 - 63/5x - 468/5 = 0
x^3 + 58/5x^2 - 63/5x - 468/5 = 0 (x - -13/5)(x - 3)(x - -12) = 0 x - -13/5 = 0 x - 3 = 0 x - -12 = 0 x = -13/5 x = 3 x = -12
Find x for x^3 - 39/10x^2 + 1699/405x - 304/405 = 0
x^3 - 39/10x^2 + 1699/405x - 304/405 = 0 (x - 19/10)(x - 16/9)(x - 2/9) = 0 x - 19/10 = 0 x - 16/9 = 0 x - 2/9 = 0 x = 19/10 x = 16/9 x = 2/9
Solve simultaneously: 2x + 1y = -38/21 5x + 7y = -536/21
2x + 1y = -38/21 5x + 7y = -536/21 Using elimination 5*(2x + 1y = -38/21) 2*(5x + 7y = -536/21) 10x + 5y = -190/21 10x + 14y = -1072/21 Subtract equations -9y = 42 y = 42/-9 y = -14/3 Substitute y 2x + 1(-14/3) = -38/21 2x = 20/7 x = 20/7/2 x = 10/7
Solve the equation 4x - 24 = 0
4x - 24 = 0 4x = 24 x = 24 / 4 x = 6
Find x in 1x - 9 = 0
1x - 9 = 0 1x = 9 x = 9 / 1 x = 9
What value of x satisfies x^3 - 11/2x^2 + 10x - 6 = 0
x^3 - 11/2x^2 + 10x - 6 = 0 (x - 2)(x - 3/2)(x - 2) = 0 x - 2 = 0 x - 3/2 = 0 x - 2 = 0 x = 2 x = 3/2 x = 2
Determine x in x^3 + 1/9x^2 - 20/27x + 4/27 = 0
x^3 + 1/9x^2 - 20/27x + 4/27 = 0 (x - 2/9)(x - 2/3)(x - -1) = 0 x - 2/9 = 0 x - 2/3 = 0 x - -1 = 0 x = 2/9 x = 2/3 x = -1
Solve x^2 + 65/28x + 33/28 = 0
x^2 + 65/28x + 33/28 = 0 (x - -3/4)(x - -11/7) = 0 x - -3/4 = 0 or x - -11/7 = 0 x = -3/4 x = -11/7
What value of x satisfies 8x - 11 = 0
8x - 11 = 0 8x = 11 x = 11 / 8 x = 11/8
Compute the solution of 7x + 49/2 = 0
7x + 49/2 = 0 7x = -49/2 x = -49/2 / 7 x = -7/2
Solve 1x - 17 = 0
1x - 17 = 0 1x = 17 x = 17 / 1 x = 17
What value of x satisfies 4x - 68/9 = 0
4x - 68/9 = 0 4x = 68/9 x = 68/9 / 4 x = 17/9
Solve the equations: 2x + 2y = -105/4 1x + 10y = 15/4
2x + 2y = -105/4 1x + 10y = 15/4 Using elimination 1*(2x + 2y = -105/4) 2*(1x + 10y = 15/4) 2x + 2y = -105/4 2x + 20y = 15/2 Subtract equations -18y = -135/4 y = -135/4/-18 y = 15/8 Substitute y 2x + 2(15/8) = -105/4 2x = -30 x = -30/2 x = -15
Find x and y such that 1x + 10y = -38/3 3x + 6y = -10
1x + 10y = -38/3 3x + 6y = -10 Using elimination 3*(1x + 10y = -38/3) 1*(3x + 6y = -10) 3x + 30y = -38 3x + 6y = -10 Subtract equations 24y = -28 y = -28/24 y = -7/6 Substitute y 1x + 10(-7/6) = -38/3 1x = -1 x = -1/1 x = -1
Solve 10x - 6 = 0
10x - 6 = 0 10x = 6 x = 6 / 10 x = 3/5
Determine x in x^2 + 53/21x - 8/21 = 0
x^2 + 53/21x - 8/21 = 0 (x - -8/3)(x - 1/7) = 0 x - -8/3 = 0 or x - 1/7 = 0 x = -8/3 x = 1/7
Solve x^2 - 5x - 6 = 0
x^2 - 5x - 6 = 0 (x - -1)(x - 6) = 0 x - -1 = 0 or x - 6 = 0 x = -1 x = 6
Compute the solution of x^3 - 62/15x^2 + 73/15x - 6/5 = 0
x^3 - 62/15x^2 + 73/15x - 6/5 = 0 (x - 2)(x - 1/3)(x - 9/5) = 0 x - 2 = 0 x - 1/3 = 0 x - 9/5 = 0 x = 2 x = 1/3 x = 9/5
Solve the equation 2x - 7/3 = 0
2x - 7/3 = 0 2x = 7/3 x = 7/3 / 2 x = 7/6
Solve x^2 - 17/5x + 14/5 = 0
x^2 - 17/5x + 14/5 = 0 (x - 7/5)(x - 2) = 0 x - 7/5 = 0 or x - 2 = 0 x = 7/5 x = 2
Solve simultaneously: 6x + 4y = 21/5 1x + 7y = -587/30
6x + 4y = 21/5 1x + 7y = -587/30 Using elimination 1*(6x + 4y = 21/5) 6*(1x + 7y = -587/30) 6x + 4y = 21/5 6x + 42y = -587/5 Subtract equations -38y = 608/5 y = 608/5/-38 y = -16/5 Substitute y 6x + 4(-16/5) = 21/5 6x = 17 x = 17/6 x = 17/6
Find the solution to x^2 + 38/5x + 48/5 = 0
x^2 + 38/5x + 48/5 = 0 (x - -8/5)(x - -6) = 0 x - -8/5 = 0 or x - -6 = 0 x = -8/5 x = -6
Solve the equation x^3 + 37/10x^2 + 3/25x - 297/50 = 0
x^3 + 37/10x^2 + 3/25x - 297/50 = 0 (x - -3)(x - 11/10)(x - -9/5) = 0 x - -3 = 0 x - 11/10 = 0 x - -9/5 = 0 x = -3 x = 11/10 x = -9/5
Solve quickly: 1x = 0
1x = 0 1x = 0 x = 0 / 1 x = 0
Find x in 5x - 85/7 = 0
5x - 85/7 = 0 5x = 85/7 x = 85/7 / 5 x = 17/7
Find the solution to x^3 + 13/18x^2 - 190/27x + 50/9 = 0
x^3 + 13/18x^2 - 190/27x + 50/9 = 0 (x - -10/3)(x - 10/9)(x - 3/2) = 0 x - -10/3 = 0 x - 10/9 = 0 x - 3/2 = 0 x = -10/3 x = 10/9 x = 3/2
Solve x^3 + 14x^2 + 23x - 110 = 0
x^3 + 14x^2 + 23x - 110 = 0 (x - 2)(x - -11)(x - -5) = 0 x - 2 = 0 x - -11 = 0 x - -5 = 0 x = 2 x = -11 x = -5
Find x in x^3 + 9/2x^2 - 16x - 39/2 = 0
x^3 + 9/2x^2 - 16x - 39/2 = 0 (x - -1)(x - 3)(x - -13/2) = 0 x - -1 = 0 x - 3 = 0 x - -13/2 = 0 x = -1 x = 3 x = -13/2
Find the solution to x^3 + 14x^2 + 151/4x - 45/2 = 0
x^3 + 14x^2 + 151/4x - 45/2 = 0 (x - 1/2)(x - -9/2)(x - -10) = 0 x - 1/2 = 0 x - -9/2 = 0 x - -10 = 0 x = 1/2 x = -9/2 x = -10
Find the solution to x^2 + 9/4x - 45/8 = 0
x^2 + 9/4x - 45/8 = 0 (x - -15/4)(x - 3/2) = 0 x - -15/4 = 0 or x - 3/2 = 0 x = -15/4 x = 3/2
Solve the equations: 6x + 8y = 413/5 2x + 4y = 211/5
6x + 8y = 413/5 2x + 4y = 211/5 Using elimination 2*(6x + 8y = 413/5) 6*(2x + 4y = 211/5) 12x + 16y = 826/5 12x + 24y = 1266/5 Subtract equations -8y = -88 y = -88/-8 y = 11 Substitute y 6x + 8(11) = 413/5 6x = -27/5 x = -27/5/6 x = -9/10
What value of x satisfies x^3 - 15/4x^2 + 783/200x - 19/25 = 0
x^3 - 15/4x^2 + 783/200x - 19/25 = 0 (x - 1/4)(x - 8/5)(x - 19/10) = 0 x - 1/4 = 0 x - 8/5 = 0 x - 19/10 = 0 x = 1/4 x = 8/5 x = 19/10
Find x for x^2 + 19x + 34 = 0
x^2 + 19x + 34 = 0 (x - -17)(x - -2) = 0 x - -17 = 0 or x - -2 = 0 x = -17 x = -2
Find the solution to x^3 + 13/6x^2 - 83/6x - 15 = 0
x^3 + 13/6x^2 - 83/6x - 15 = 0 (x - -1)(x - 10/3)(x - -9/2) = 0 x - -1 = 0 x - 10/3 = 0 x - -9/2 = 0 x = -1 x = 10/3 x = -9/2
Find x in x^2 + 161/36x + 143/36 = 0
x^2 + 161/36x + 143/36 = 0 (x - -13/4)(x - -11/9) = 0 x - -13/4 = 0 or x - -11/9 = 0 x = -13/4 x = -11/9
Determine x in x^2 - 19/5x + 78/25 = 0
x^2 - 19/5x + 78/25 = 0 (x - 6/5)(x - 13/5) = 0 x - 6/5 = 0 or x - 13/5 = 0 x = 6/5 x = 13/5
Find x and y such that 3x + 1y = -13/4 8x + 10y = -217/6
3x + 1y = -13/4 8x + 10y = -217/6 Using elimination 8*(3x + 1y = -13/4) 3*(8x + 10y = -217/6) 24x + 8y = -26 24x + 30y = -217/2 Subtract equations -22y = 165/2 y = 165/2/-22 y = -15/4 Substitute y 3x + 1(-15/4) = -13/4 3x = 1/2 x = 1/2/3 x = 1/6
Find x and y such that 9x + 7y = -91/8 10x + 10y = -265/28
9x + 7y = -91/8 10x + 10y = -265/28 Using elimination 10*(9x + 7y = -91/8) 9*(10x + 10y = -265/28) 90x + 70y = -455/4 90x + 90y = -2385/28 Subtract equations -20y = -200/7 y = -200/7/-20 y = 10/7 Substitute y 9x + 7(10/7) = -91/8 9x = -171/8 x = -171/8/9 x = -19/8
Solve simultaneously: 6x + 2y = 98/15 10x + 8y = 70/3
6x + 2y = 98/15 10x + 8y = 70/3 Using elimination 10*(6x + 2y = 98/15) 6*(10x + 8y = 70/3) 60x + 20y = 196/3 60x + 48y = 140 Subtract equations -28y = -224/3 y = -224/3/-28 y = 8/3 Substitute y 6x + 2(8/3) = 98/15 6x = 6/5 x = 6/5/6 x = 1/5
Find the solution to 2x + 20/3 = 0
2x + 20/3 = 0 2x = -20/3 x = -20/3 / 2 x = -10/3
Find the solution to 3x + 3/2 = 0
3x + 3/2 = 0 3x = -3/2 x = -3/2 / 3 x = -1/2
Compute the solution of x^3 - 11/3x^2 - 577/12x - 209/3 = 0
x^3 - 11/3x^2 - 577/12x - 209/3 = 0 (x - 19/2)(x - -11/6)(x - -4) = 0 x - 19/2 = 0 x - -11/6 = 0 x - -4 = 0 x = 19/2 x = -11/6 x = -4
Solve x^2 + 7/3x - 10/3 = 0
x^2 + 7/3x - 10/3 = 0 (x - -10/3)(x - 1) = 0 x - -10/3 = 0 or x - 1 = 0 x = -10/3 x = 1
Find x for x^3 - 43/10x^2 + 211/45x - 68/45 = 0
x^3 - 43/10x^2 + 211/45x - 68/45 = 0 (x - 4/5)(x - 2/3)(x - 17/6) = 0 x - 4/5 = 0 x - 2/3 = 0 x - 17/6 = 0 x = 4/5 x = 2/3 x = 17/6
Solve simultaneously: 1x + 1y = -65/9 10x + 7y = -515/9
1x + 1y = -65/9 10x + 7y = -515/9 Using elimination 10*(1x + 1y = -65/9) 1*(10x + 7y = -515/9) 10x + 10y = -650/9 10x + 7y = -515/9 Subtract equations 3y = -15 y = -15/3 y = -5 Substitute y 1x + 1(-5) = -65/9 1x = -20/9 x = -20/9/1 x = -20/9
Solve 9x + 9 = 0
9x + 9 = 0 9x = -9 x = -9 / 9 x = -1
Find the solution to x^3 - 6/5x^2 - 549/20x - 81/10 = 0
x^3 - 6/5x^2 - 549/20x - 81/10 = 0 (x - 6)(x - -9/2)(x - -3/10) = 0 x - 6 = 0 x - -9/2 = 0 x - -3/10 = 0 x = 6 x = -9/2 x = -3/10
Find x in x^2 - 146/9x - 119/9 = 0
x^2 - 146/9x - 119/9 = 0 (x - 17)(x - -7/9) = 0 x - 17 = 0 or x - -7/9 = 0 x = 17 x = -7/9
Find x and y such that 4x + 7y = -79/10 2x + 7y = -99/10
4x + 7y = -79/10 2x + 7y = -99/10 Using elimination 2*(4x + 7y = -79/10) 4*(2x + 7y = -99/10) 8x + 14y = -79/5 8x + 28y = -198/5 Subtract equations -14y = 119/5 y = 119/5/-14 y = -17/10 Substitute y 4x + 7(-17/10) = -79/10 4x = 4 x = 4/4 x = 1
Solve simultaneously: 3x + 8y = 59/3 4x + 5y = 134/9
3x + 8y = 59/3 4x + 5y = 134/9 Using elimination 4*(3x + 8y = 59/3) 3*(4x + 5y = 134/9) 12x + 32y = 236/3 12x + 15y = 134/3 Subtract equations 17y = 34 y = 34/17 y = 2 Substitute y 3x + 8(2) = 59/3 3x = 11/3 x = 11/3/3 x = 11/9
What value of x satisfies x^2 - 25/4x - 21/4 = 0
x^2 - 25/4x - 21/4 = 0 (x - -3/4)(x - 7) = 0 x - -3/4 = 0 or x - 7 = 0 x = -3/4 x = 7
Solve the equation 6x - 15 = 0
6x - 15 = 0 6x = 15 x = 15 / 6 x = 5/2
Find x in x^2 + 13/12x - 15/2 = 0
x^2 + 13/12x - 15/2 = 0 (x - -10/3)(x - 9/4) = 0 x - -10/3 = 0 or x - 9/4 = 0 x = -10/3 x = 9/4
Compute the solution of x^3 - 43/40x^2 - 29/160x + 3/80 = 0
x^3 - 43/40x^2 - 29/160x + 3/80 = 0 (x - 1/8)(x - 6/5)(x - -1/4) = 0 x - 1/8 = 0 x - 6/5 = 0 x - -1/4 = 0 x = 1/8 x = 6/5 x = -1/4
Find x in 8x - 160/3 = 0
8x - 160/3 = 0 8x = 160/3 x = 160/3 / 8 x = 20/3
Find x and y such that 4x + 5y = -67/9 4x + 3y = -11/3
4x + 5y = -67/9 4x + 3y = -11/3 Using elimination 4*(4x + 5y = -67/9) 4*(4x + 3y = -11/3) 16x + 20y = -268/9 16x + 12y = -44/3 Subtract equations 8y = -136/9 y = -136/9/8 y = -17/9 Substitute y 4x + 5(-17/9) = -67/9 4x = 2 x = 2/4 x = 1/2
Solve the equation x^2 - 6x - 133/4 = 0
x^2 - 6x - 133/4 = 0 (x - -7/2)(x - 19/2) = 0 x - -7/2 = 0 or x - 19/2 = 0 x = -7/2 x = 19/2
Solve 2x - 2 = 0
2x - 2 = 0 2x = 2 x = 2 / 2 x = 1
Find x for x^2 + 21x + 20 = 0
x^2 + 21x + 20 = 0 (x - -20)(x - -1) = 0 x - -20 = 0 or x - -1 = 0 x = -20 x = -1
Solve quickly: x^3 + 194/35x^2 + 353/35x + 6 = 0
x^3 + 194/35x^2 + 353/35x + 6 = 0 (x - -7/5)(x - -2)(x - -15/7) = 0 x - -7/5 = 0 x - -2 = 0 x - -15/7 = 0 x = -7/5 x = -2 x = -15/7
Find x and y such that 3x + 2y = 18/5 4x + 6y = -26/5
3x + 2y = 18/5 4x + 6y = -26/5 Using elimination 4*(3x + 2y = 18/5) 3*(4x + 6y = -26/5) 12x + 8y = 72/5 12x + 18y = -78/5 Subtract equations -10y = 30 y = 30/-10 y = -3 Substitute y 3x + 2(-3) = 18/5 3x = 48/5 x = 48/5/3 x = 16/5
Solve the equations: 5x + 8y = 121/6 7x + 9y = 55/2
5x + 8y = 121/6 7x + 9y = 55/2 Using elimination 7*(5x + 8y = 121/6) 5*(7x + 9y = 55/2) 35x + 56y = 847/6 35x + 45y = 275/2 Subtract equations 11y = 11/3 y = 11/3/11 y = 1/3 Substitute y 5x + 8(1/3) = 121/6 5x = 35/2 x = 35/2/5 x = 7/2
Determine x in x^2 - 43/18x - 19/2 = 0
x^2 - 43/18x - 19/2 = 0 (x - 9/2)(x - -19/9) = 0 x - 9/2 = 0 or x - -19/9 = 0 x = 9/2 x = -19/9
Solve simultaneously: 7x + 3y = -206/63 3x + 8y = -110/21
7x + 3y = -206/63 3x + 8y = -110/21 Using elimination 3*(7x + 3y = -206/63) 7*(3x + 8y = -110/21) 21x + 9y = -206/21 21x + 56y = -110/3 Subtract equations -47y = 188/7 y = 188/7/-47 y = -4/7 Substitute y 7x + 3(-4/7) = -206/63 7x = -14/9 x = -14/9/7 x = -2/9
Compute the solution of x^3 - 17/12x^2 - 247/18x + 169/36 = 0
x^3 - 17/12x^2 - 247/18x + 169/36 = 0 (x - 13/3)(x - 1/3)(x - -13/4) = 0 x - 13/3 = 0 x - 1/3 = 0 x - -13/4 = 0 x = 13/3 x = 1/3 x = -13/4