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Find x and y such that 1x + 2y = -22/9 2x + 3y = -17/3
1x + 2y = -22/9 2x + 3y = -17/3 Using elimination 2*(1x + 2y = -22/9) 1*(2x + 3y = -17/3) 2x + 4y = -44/9 2x + 3y = -17/3 Subtract equations 1y = 7/9 y = 7/9/1 y = 7/9 Substitute y 1x + 2(7/9) = -22/9 1x = -4 x = -4/1 x = -4
Solve quickly: x^2 - 31/7x - 20/7 = 0
x^2 - 31/7x - 20/7 = 0 (x - -4/7)(x - 5) = 0 x - -4/7 = 0 or x - 5 = 0 x = -4/7 x = 5
Find x and y such that 2x + 7y = 27 5x + 9y = 328/7
2x + 7y = 27 5x + 9y = 328/7 Using elimination 5*(2x + 7y = 27) 2*(5x + 9y = 328/7) 10x + 35y = 135 10x + 18y = 656/7 Subtract equations 17y = 289/7 y = 289/7/17 y = 17/7 Substitute y 2x + 7(17/7) = 27 2x = 10 x = 10/2 x = 5
Find the solution to 1x - 15/4 = 0
1x - 15/4 = 0 1x = 15/4 x = 15/4 / 1 x = 15/4
Solve the system: 8x + 2y = -25/3 4x + 9y = -11/2
8x + 2y = -25/3 4x + 9y = -11/2 Using elimination 4*(8x + 2y = -25/3) 8*(4x + 9y = -11/2) 32x + 8y = -100/3 32x + 72y = -44 Subtract equations -64y = 32/3 y = 32/3/-64 y = -1/6 Substitute y 8x + 2(-1/6) = -25/3 8x = -8 x = -8/8 x = -1
Solve the system: 2x + 5y = -22 10x + 1y = -118/5
2x + 5y = -22 10x + 1y = -118/5 Using elimination 10*(2x + 5y = -22) 2*(10x + 1y = -118/5) 20x + 50y = -220 20x + 2y = -236/5 Subtract equations 48y = -864/5 y = -864/5/48 y = -18/5 Substitute y 2x + 5(-18/5) = -22 2x = -4 x = -4/2 x = -2
What value of x satisfies x^2 + 23/8x + 15/8 = 0
x^2 + 23/8x + 15/8 = 0 (x - -15/8)(x - -1) = 0 x - -15/8 = 0 or x - -1 = 0 x = -15/8 x = -1
Solve the equation x^2 - 29/10x - 24/25 = 0
x^2 - 29/10x - 24/25 = 0 (x - -3/10)(x - 16/5) = 0 x - -3/10 = 0 or x - 16/5 = 0 x = -3/10 x = 16/5
Find x and y such that 7x + 2y = -218/15 7x + 4y = -296/15
7x + 2y = -218/15 7x + 4y = -296/15 Using elimination 7*(7x + 2y = -218/15) 7*(7x + 4y = -296/15) 49x + 14y = -1526/15 49x + 28y = -2072/15 Subtract equations -14y = 182/5 y = 182/5/-14 y = -13/5 Substitute y 7x + 2(-13/5) = -218/15 7x = -28/3 x = -28/3/7 x = -4/3
What value of x satisfies x^3 - 79/8x^2 + 15x = 0
x^3 - 79/8x^2 + 15x = 0 (x - 15/8)(x - 8)(x - 0) = 0 x - 15/8 = 0 x - 8 = 0 x - 0 = 0 x = 15/8 x = 8 x = 0
Compute the solution of 7x + 28/3 = 0
7x + 28/3 = 0 7x = -28/3 x = -28/3 / 7 x = -4/3
Solve the equation x^2 + 83/20x + 117/40 = 0
x^2 + 83/20x + 117/40 = 0 (x - -9/10)(x - -13/4) = 0 x - -9/10 = 0 or x - -13/4 = 0 x = -9/10 x = -13/4
Solve quickly: x^3 + 17/12x^2 - 25/4x - 9/2 = 0
x^3 + 17/12x^2 - 25/4x - 9/2 = 0 (x - -2/3)(x - 9/4)(x - -3) = 0 x - -2/3 = 0 x - 9/4 = 0 x - -3 = 0 x = -2/3 x = 9/4 x = -3
What value of x satisfies x^3 - 1081/72x^2 + 515/36x - 14/9 = 0
x^3 - 1081/72x^2 + 515/36x - 14/9 = 0 (x - 8/9)(x - 1/8)(x - 14) = 0 x - 8/9 = 0 x - 1/8 = 0 x - 14 = 0 x = 8/9 x = 1/8 x = 14
Solve the equation x^2 - 1/4 = 0
x^2 - 1/4 = 0 (x - 1/2)(x - -1/2) = 0 x - 1/2 = 0 or x - -1/2 = 0 x = 1/2 x = -1/2
Solve the equations: 9x + 1y = -8 2x + 3y = -491/9
9x + 1y = -8 2x + 3y = -491/9 Using elimination 2*(9x + 1y = -8) 9*(2x + 3y = -491/9) 18x + 2y = -16 18x + 27y = -491 Subtract equations -25y = 475 y = 475/-25 y = -19 Substitute y 9x + 1(-19) = -8 9x = 11 x = 11/9 x = 11/9
What value of x satisfies x^2 + 63/4x + 45/4 = 0
x^2 + 63/4x + 45/4 = 0 (x - -3/4)(x - -15) = 0 x - -3/4 = 0 or x - -15 = 0 x = -3/4 x = -15
Find x for x^2 - 7/18x - 4/9 = 0
x^2 - 7/18x - 4/9 = 0 (x - 8/9)(x - -1/2) = 0 x - 8/9 = 0 or x - -1/2 = 0 x = 8/9 x = -1/2
Find x for x^3 + 155/18x^2 - 1453/9x + 136 = 0
x^3 + 155/18x^2 - 1453/9x + 136 = 0 (x - 17/2)(x - -18)(x - 8/9) = 0 x - 17/2 = 0 x - -18 = 0 x - 8/9 = 0 x = 17/2 x = -18 x = 8/9
Solve x^3 + 7/10x^2 - 11/25x = 0
x^3 + 7/10x^2 - 11/25x = 0 (x - 0)(x - 2/5)(x - -11/10) = 0 x - 0 = 0 x - 2/5 = 0 x - -11/10 = 0 x = 0 x = 2/5 x = -11/10
Find x for x^3 - 35/9x^2 - 379/27x - 247/27 = 0
x^3 - 35/9x^2 - 379/27x - 247/27 = 0 (x - -13/9)(x - 19/3)(x - -1) = 0 x - -13/9 = 0 x - 19/3 = 0 x - -1 = 0 x = -13/9 x = 19/3 x = -1
Compute the solution of x^3 + 281/30x^2 + 811/30x + 119/5 = 0
x^3 + 281/30x^2 + 811/30x + 119/5 = 0 (x - -14/3)(x - -17/10)(x - -3) = 0 x - -14/3 = 0 x - -17/10 = 0 x - -3 = 0 x = -14/3 x = -17/10 x = -3
Find x for 10x - 110 = 0
10x - 110 = 0 10x = 110 x = 110 / 10 x = 11
Compute the solution of x^2 - 10/3x = 0
x^2 - 10/3x = 0 (x - 10/3)(x - 0) = 0 x - 10/3 = 0 or x - 0 = 0 x = 10/3 x = 0
Solve the equation 4x = 0
4x = 0 4x = 0 x = 0 / 4 x = 0
Solve 9x + 27/2 = 0
9x + 27/2 = 0 9x = -27/2 x = -27/2 / 9 x = -3/2
Solve quickly: x^2 + 8x - 180 = 0
x^2 + 8x - 180 = 0 (x - 10)(x - -18) = 0 x - 10 = 0 or x - -18 = 0 x = 10 x = -18
Solve 8x - 72 = 0
8x - 72 = 0 8x = 72 x = 72 / 8 x = 9
What value of x satisfies x^3 + 249/70x^2 + 1233/490x - 54/49 = 0
x^3 + 249/70x^2 + 1233/490x - 54/49 = 0 (x - -12/7)(x - -15/7)(x - 3/10) = 0 x - -12/7 = 0 x - -15/7 = 0 x - 3/10 = 0 x = -12/7 x = -15/7 x = 3/10
Solve the equations: 1x + 4y = -19/7 9x + 5y = -33/28
1x + 4y = -19/7 9x + 5y = -33/28 Using elimination 9*(1x + 4y = -19/7) 1*(9x + 5y = -33/28) 9x + 36y = -171/7 9x + 5y = -33/28 Subtract equations 31y = -93/4 y = -93/4/31 y = -3/4 Substitute y 1x + 4(-3/4) = -19/7 1x = 2/7 x = 2/7/1 x = 2/7
Find x for x^2 - 43/18x + 17/18 = 0
x^2 - 43/18x + 17/18 = 0 (x - 17/9)(x - 1/2) = 0 x - 17/9 = 0 or x - 1/2 = 0 x = 17/9 x = 1/2
Find x for x^2 + 67/24x - 19/16 = 0
x^2 + 67/24x - 19/16 = 0 (x - 3/8)(x - -19/6) = 0 x - 3/8 = 0 or x - -19/6 = 0 x = 3/8 x = -19/6
Solve the equations: 8x + 5y = -255/7 4x + 6y = -250/7
8x + 5y = -255/7 4x + 6y = -250/7 Using elimination 4*(8x + 5y = -255/7) 8*(4x + 6y = -250/7) 32x + 20y = -1020/7 32x + 48y = -2000/7 Subtract equations -28y = 140 y = 140/-28 y = -5 Substitute y 8x + 5(-5) = -255/7 8x = -80/7 x = -80/7/8 x = -10/7
Solve x^3 + 69/5x^2 + 27x - 209/5 = 0
x^3 + 69/5x^2 + 27x - 209/5 = 0 (x - -11)(x - -19/5)(x - 1) = 0 x - -11 = 0 x - -19/5 = 0 x - 1 = 0 x = -11 x = -19/5 x = 1
Compute the solution of 7x - 49/3 = 0
7x - 49/3 = 0 7x = 49/3 x = 49/3 / 7 x = 7/3
Find x for 9x + 13 = 0
9x + 13 = 0 9x = -13 x = -13 / 9 x = -13/9
Solve 5x + 65/2 = 0
5x + 65/2 = 0 5x = -65/2 x = -65/2 / 5 x = -13/2
Solve the equations: 2x + 2y = -3 7x + 4y = -9
2x + 2y = -3 7x + 4y = -9 Using elimination 7*(2x + 2y = -3) 2*(7x + 4y = -9) 14x + 14y = -21 14x + 8y = -18 Subtract equations 6y = -3 y = -3/6 y = -1/2 Substitute y 2x + 2(-1/2) = -3 2x = -2 x = -2/2 x = -1
Find x in x^3 + 16/21x^2 - 5/63x - 2/21 = 0
x^3 + 16/21x^2 - 5/63x - 2/21 = 0 (x - 1/3)(x - -2/3)(x - -3/7) = 0 x - 1/3 = 0 x - -2/3 = 0 x - -3/7 = 0 x = 1/3 x = -2/3 x = -3/7
Determine x in 6x - 18 = 0
6x - 18 = 0 6x = 18 x = 18 / 6 x = 3
Solve the equations: 10x + 3y = 259/5 10x + 7y = 271/5
10x + 3y = 259/5 10x + 7y = 271/5 Using elimination 10*(10x + 3y = 259/5) 10*(10x + 7y = 271/5) 100x + 30y = 518 100x + 70y = 542 Subtract equations -40y = -24 y = -24/-40 y = 3/5 Substitute y 10x + 3(3/5) = 259/5 10x = 50 x = 50/10 x = 5
Find x in 5x + 5 = 0
5x + 5 = 0 5x = -5 x = -5 / 5 x = -1
What value of x satisfies x^3 + 18/5x^2 - 273/25x - 98/5 = 0
x^3 + 18/5x^2 - 273/25x - 98/5 = 0 (x - -5)(x - -7/5)(x - 14/5) = 0 x - -5 = 0 x - -7/5 = 0 x - 14/5 = 0 x = -5 x = -7/5 x = 14/5
Determine x in 4x - 6 = 0
4x - 6 = 0 4x = 6 x = 6 / 4 x = 3/2
Solve the equations: 5x + 2y = -32 10x + 2y = -32
5x + 2y = -32 10x + 2y = -32 Using elimination 10*(5x + 2y = -32) 5*(10x + 2y = -32) 50x + 20y = -320 50x + 10y = -160 Subtract equations 10y = -160 y = -160/10 y = -16 Substitute y 5x + 2(-16) = -32 5x = 0 x = 0/5 x = 0
Solve the system: 6x + 7y = -125/3 2x + 7y = -65/3
6x + 7y = -125/3 2x + 7y = -65/3 Using elimination 2*(6x + 7y = -125/3) 6*(2x + 7y = -65/3) 12x + 14y = -250/3 12x + 42y = -130 Subtract equations -28y = 140/3 y = 140/3/-28 y = -5/3 Substitute y 6x + 7(-5/3) = -125/3 6x = -30 x = -30/6 x = -5
Compute the solution of x^2 + 3/4x - 5/2 = 0
x^2 + 3/4x - 5/2 = 0 (x - -2)(x - 5/4) = 0 x - -2 = 0 or x - 5/4 = 0 x = -2 x = 5/4
Determine x in x^3 + 7/4x^2 + 21/25x + 27/400 = 0
x^3 + 7/4x^2 + 21/25x + 27/400 = 0 (x - -1/10)(x - -9/10)(x - -3/4) = 0 x - -1/10 = 0 x - -9/10 = 0 x - -3/4 = 0 x = -1/10 x = -9/10 x = -3/4
Find x in x^2 + 31/15x + 14/15 = 0
x^2 + 31/15x + 14/15 = 0 (x - -2/3)(x - -7/5) = 0 x - -2/3 = 0 or x - -7/5 = 0 x = -2/3 x = -7/5
Compute the solution of x^3 + 26/45x^2 - 4009/405x + 722/81 = 0
x^3 + 26/45x^2 - 4009/405x + 722/81 = 0 (x - 10/9)(x - 19/9)(x - -19/5) = 0 x - 10/9 = 0 x - 19/9 = 0 x - -19/5 = 0 x = 10/9 x = 19/9 x = -19/5
Determine x in 9x + 6 = 0
9x + 6 = 0 9x = -6 x = -6 / 9 x = -2/3
Solve the equation x^3 - 24/35x^2 - 43/28x + 33/70 = 0
x^3 - 24/35x^2 - 43/28x + 33/70 = 0 (x - 2/7)(x - -11/10)(x - 3/2) = 0 x - 2/7 = 0 x - -11/10 = 0 x - 3/2 = 0 x = 2/7 x = -11/10 x = 3/2
Find the solution to 3x - 12 = 0
3x - 12 = 0 3x = 12 x = 12 / 3 x = 4
Solve the equation x^2 + 61/18x + 17/6 = 0
x^2 + 61/18x + 17/6 = 0 (x - -17/9)(x - -3/2) = 0 x - -17/9 = 0 or x - -3/2 = 0 x = -17/9 x = -3/2
What value of x satisfies x^2 - 11/5x + 2/5 = 0
x^2 - 11/5x + 2/5 = 0 (x - 2)(x - 1/5) = 0 x - 2 = 0 or x - 1/5 = 0 x = 2 x = 1/5
Solve the system: 2x + 7y = 41 5x + 2y = 131/4
2x + 7y = 41 5x + 2y = 131/4 Using elimination 5*(2x + 7y = 41) 2*(5x + 2y = 131/4) 10x + 35y = 205 10x + 4y = 131/2 Subtract equations 31y = 279/2 y = 279/2/31 y = 9/2 Substitute y 2x + 7(9/2) = 41 2x = 19/2 x = 19/2/2 x = 19/4
Solve the equation x^2 + 29/9x - 44/27 = 0
x^2 + 29/9x - 44/27 = 0 (x - -11/3)(x - 4/9) = 0 x - -11/3 = 0 or x - 4/9 = 0 x = -11/3 x = 4/9
Solve quickly: x^2 + 27/14x + 5/7 = 0
x^2 + 27/14x + 5/7 = 0 (x - -1/2)(x - -10/7) = 0 x - -1/2 = 0 or x - -10/7 = 0 x = -1/2 x = -10/7
Determine x in 4x - 8 = 0
4x - 8 = 0 4x = 8 x = 8 / 4 x = 2
Solve x^3 - 107/63x^2 + 106/189x + 16/189 = 0
x^3 - 107/63x^2 + 106/189x + 16/189 = 0 (x - 8/7)(x - -1/9)(x - 2/3) = 0 x - 8/7 = 0 x - -1/9 = 0 x - 2/3 = 0 x = 8/7 x = -1/9 x = 2/3
Solve x^2 - 1x - 42 = 0
x^2 - 1x - 42 = 0 (x - -6)(x - 7) = 0 x - -6 = 0 or x - 7 = 0 x = -6 x = 7
Find x for 9x = 0
9x = 0 9x = 0 x = 0 / 9 x = 0
Determine x in x^2 + 97/5x - 12 = 0
x^2 + 97/5x - 12 = 0 (x - -20)(x - 3/5) = 0 x - -20 = 0 or x - 3/5 = 0 x = -20 x = 3/5
Solve x^2 - 79/45x + 2/3 = 0
x^2 - 79/45x + 2/3 = 0 (x - 5/9)(x - 6/5) = 0 x - 5/9 = 0 or x - 6/5 = 0 x = 5/9 x = 6/5
Find x and y such that 4x + 5y = -1/5 1x + 2y = 11/5
4x + 5y = -1/5 1x + 2y = 11/5 Using elimination 1*(4x + 5y = -1/5) 4*(1x + 2y = 11/5) 4x + 5y = -1/5 4x + 8y = 44/5 Subtract equations -3y = -9 y = -9/-3 y = 3 Substitute y 4x + 5(3) = -1/5 4x = -76/5 x = -76/5/4 x = -19/5
Solve the equation 9x - 18 = 0
9x - 18 = 0 9x = 18 x = 18 / 9 x = 2
Solve x^3 - 1555/72x^2 + 275/9x + 250/9 = 0
x^3 - 1555/72x^2 + 275/9x + 250/9 = 0 (x - 20/9)(x - -5/8)(x - 20) = 0 x - 20/9 = 0 x - -5/8 = 0 x - 20 = 0 x = 20/9 x = -5/8 x = 20
Find the solution to x^3 - 113/20x^2 - 133/10x + 539/20 = 0
x^3 - 113/20x^2 - 133/10x + 539/20 = 0 (x - -11/4)(x - 7/5)(x - 7) = 0 x - -11/4 = 0 x - 7/5 = 0 x - 7 = 0 x = -11/4 x = 7/5 x = 7
Find x in x^2 + 11/8x - 5/4 = 0
x^2 + 11/8x - 5/4 = 0 (x - 5/8)(x - -2) = 0 x - 5/8 = 0 or x - -2 = 0 x = 5/8 x = -2
Solve the system: 1x + 7y = -103/10 1x + 4y = -32/5
1x + 7y = -103/10 1x + 4y = -32/5 Using elimination 1*(1x + 7y = -103/10) 1*(1x + 4y = -32/5) 1x + 7y = -103/10 1x + 4y = -32/5 Subtract equations 3y = -39/10 y = -39/10/3 y = -13/10 Substitute y 1x + 7(-13/10) = -103/10 1x = -6/5 x = -6/5/1 x = -6/5
Find the solution to x^3 + 17/6x^2 - 99/16x + 65/48 = 0
x^3 + 17/6x^2 - 99/16x + 65/48 = 0 (x - 5/4)(x - 1/4)(x - -13/3) = 0 x - 5/4 = 0 x - 1/4 = 0 x - -13/3 = 0 x = 5/4 x = 1/4 x = -13/3
Solve the equations: 10x + 1y = 361/9 4x + 3y = 49/3
10x + 1y = 361/9 4x + 3y = 49/3 Using elimination 4*(10x + 1y = 361/9) 10*(4x + 3y = 49/3) 40x + 4y = 1444/9 40x + 30y = 490/3 Subtract equations -26y = -26/9 y = -26/9/-26 y = 1/9 Substitute y 10x + 1(1/9) = 361/9 10x = 40 x = 40/10 x = 4
Find x for x^3 + 39/10x^2 + 19/20x - 63/40 = 0
x^3 + 39/10x^2 + 19/20x - 63/40 = 0 (x - -7/2)(x - 1/2)(x - -9/10) = 0 x - -7/2 = 0 x - 1/2 = 0 x - -9/10 = 0 x = -7/2 x = 1/2 x = -9/10
Find x for x^3 - 12x^2 + 41x - 42 = 0
x^3 - 12x^2 + 41x - 42 = 0 (x - 3)(x - 7)(x - 2) = 0 x - 3 = 0 x - 7 = 0 x - 2 = 0 x = 3 x = 7 x = 2
What value of x satisfies x^2 - 13/4x + 21/8 = 0
x^2 - 13/4x + 21/8 = 0 (x - 3/2)(x - 7/4) = 0 x - 3/2 = 0 or x - 7/4 = 0 x = 3/2 x = 7/4
Find x in x^3 + 179/36x^2 - 7/36x - 5/18 = 0
x^3 + 179/36x^2 - 7/36x - 5/18 = 0 (x - -5)(x - -2/9)(x - 1/4) = 0 x - -5 = 0 x - -2/9 = 0 x - 1/4 = 0 x = -5 x = -2/9 x = 1/4
Solve the system: 10x + 9y = 60 10x + 5y = 36
10x + 9y = 60 10x + 5y = 36 Using elimination 10*(10x + 9y = 60) 10*(10x + 5y = 36) 100x + 90y = 600 100x + 50y = 360 Subtract equations 40y = 240 y = 240/40 y = 6 Substitute y 10x + 9(6) = 60 10x = 6 x = 6/10 x = 3/5
Solve the system: 6x + 10y = 62 3x + 6y = 38
6x + 10y = 62 3x + 6y = 38 Using elimination 3*(6x + 10y = 62) 6*(3x + 6y = 38) 18x + 30y = 186 18x + 36y = 228 Subtract equations -6y = -42 y = -42/-6 y = 7 Substitute y 6x + 10(7) = 62 6x = -8 x = -8/6 x = -4/3
What value of x satisfies x^2 + 9/2x + 85/18 = 0
x^2 + 9/2x + 85/18 = 0 (x - -17/6)(x - -5/3) = 0 x - -17/6 = 0 or x - -5/3 = 0 x = -17/6 x = -5/3
What value of x satisfies 2x + 4/5 = 0
2x + 4/5 = 0 2x = -4/5 x = -4/5 / 2 x = -2/5
Solve x^3 + 37/5x^2 + 51/4x - 27/20 = 0
x^3 + 37/5x^2 + 51/4x - 27/20 = 0 (x - 1/10)(x - -9/2)(x - -3) = 0 x - 1/10 = 0 x - -9/2 = 0 x - -3 = 0 x = 1/10 x = -9/2 x = -3
Find x in 7x + 35/3 = 0
7x + 35/3 = 0 7x = -35/3 x = -35/3 / 7 x = -5/3
Compute the solution of x^2 - 311/90x + 133/45 = 0
x^2 - 311/90x + 133/45 = 0 (x - 14/9)(x - 19/10) = 0 x - 14/9 = 0 or x - 19/10 = 0 x = 14/9 x = 19/10
Solve simultaneously: 1x + 5y = -71/24 10x + 10y = -35/12
1x + 5y = -71/24 10x + 10y = -35/12 Using elimination 10*(1x + 5y = -71/24) 1*(10x + 10y = -35/12) 10x + 50y = -355/12 10x + 10y = -35/12 Subtract equations 40y = -80/3 y = -80/3/40 y = -2/3 Substitute y 1x + 5(-2/3) = -71/24 1x = 3/8 x = 3/8/1 x = 3/8
Determine x in x^3 + 155/8x^2 + 451/8x + 38 = 0
x^3 + 155/8x^2 + 451/8x + 38 = 0 (x - -1)(x - -16)(x - -19/8) = 0 x - -1 = 0 x - -16 = 0 x - -19/8 = 0 x = -1 x = -16 x = -19/8
Find the solution to x^2 + 19/6x = 0
x^2 + 19/6x = 0 (x - 0)(x - -19/6) = 0 x - 0 = 0 or x - -19/6 = 0 x = 0 x = -19/6
Find x for x^3 - 111/10x^2 - 279/5x - 81/2 = 0
x^3 - 111/10x^2 - 279/5x - 81/2 = 0 (x - 15)(x - -3)(x - -9/10) = 0 x - 15 = 0 x - -3 = 0 x - -9/10 = 0 x = 15 x = -3 x = -9/10
Find x for x^2 + 4/3x - 32/9 = 0
x^2 + 4/3x - 32/9 = 0 (x - 4/3)(x - -8/3) = 0 x - 4/3 = 0 or x - -8/3 = 0 x = 4/3 x = -8/3
Find x for x^3 - 299/63x^2 - 464/63x - 20/21 = 0
x^3 - 299/63x^2 - 464/63x - 20/21 = 0 (x - 6)(x - -10/9)(x - -1/7) = 0 x - 6 = 0 x - -10/9 = 0 x - -1/7 = 0 x = 6 x = -10/9 x = -1/7
Solve the equation x^3 + 7/3x^2 - 7/3x - 1 = 0
x^3 + 7/3x^2 - 7/3x - 1 = 0 (x - -1/3)(x - 1)(x - -3) = 0 x - -1/3 = 0 x - 1 = 0 x - -3 = 0 x = -1/3 x = 1 x = -3
Solve the equation x^2 + 19/30x + 1/10 = 0
x^2 + 19/30x + 1/10 = 0 (x - -1/3)(x - -3/10) = 0 x - -1/3 = 0 or x - -3/10 = 0 x = -1/3 x = -3/10
Find x in 9x + 10 = 0
9x + 10 = 0 9x = -10 x = -10 / 9 x = -10/9
Determine x in x^3 + 5/7x^2 - 191/448x + 9/224 = 0
x^3 + 5/7x^2 - 191/448x + 9/224 = 0 (x - 1/8)(x - -9/8)(x - 2/7) = 0 x - 1/8 = 0 x - -9/8 = 0 x - 2/7 = 0 x = 1/8 x = -9/8 x = 2/7
Find x for x^3 - 481/24x^2 - 23/48x + 105/4 = 0
x^3 - 481/24x^2 - 23/48x + 105/4 = 0 (x - -9/8)(x - 7/6)(x - 20) = 0 x - -9/8 = 0 x - 7/6 = 0 x - 20 = 0 x = -9/8 x = 7/6 x = 20
Find x and y such that 3x + 5y = 193/21 1x + 3y = 37/7
3x + 5y = 193/21 1x + 3y = 37/7 Using elimination 1*(3x + 5y = 193/21) 3*(1x + 3y = 37/7) 3x + 5y = 193/21 3x + 9y = 111/7 Subtract equations -4y = -20/3 y = -20/3/-4 y = 5/3 Substitute y 3x + 5(5/3) = 193/21 3x = 6/7 x = 6/7/3 x = 2/7
Solve the system: 10x + 2y = -221/6 6x + 8y = -17/6
10x + 2y = -221/6 6x + 8y = -17/6 Using elimination 6*(10x + 2y = -221/6) 10*(6x + 8y = -17/6) 60x + 12y = -221 60x + 80y = -85/3 Subtract equations -68y = -578/3 y = -578/3/-68 y = 17/6 Substitute y 10x + 2(17/6) = -221/6 10x = -85/2 x = -85/2/10 x = -17/4
Solve the system: 8x + 9y = 69 5x + 2y = 25
8x + 9y = 69 5x + 2y = 25 Using elimination 5*(8x + 9y = 69) 8*(5x + 2y = 25) 40x + 45y = 345 40x + 16y = 200 Subtract equations 29y = 145 y = 145/29 y = 5 Substitute y 8x + 9(5) = 69 8x = 24 x = 24/8 x = 3
Solve the equations: 6x + 7y = 72 8x + 1y = 46
6x + 7y = 72 8x + 1y = 46 Using elimination 8*(6x + 7y = 72) 6*(8x + 1y = 46) 48x + 56y = 576 48x + 6y = 276 Subtract equations 50y = 300 y = 300/50 y = 6 Substitute y 6x + 7(6) = 72 6x = 30 x = 30/6 x = 5
Find x for 10x + 5 = 0
10x + 5 = 0 10x = -5 x = -5 / 10 x = -1/2
Find x in x^2 - 23/3x + 20/3 = 0
x^2 - 23/3x + 20/3 = 0 (x - 1)(x - 20/3) = 0 x - 1 = 0 or x - 20/3 = 0 x = 1 x = 20/3