x+31x^2y=32xy^3+28xy^3-17x^2y

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Solution for x+31x^2y=32xy^3+28xy^3-17x^2y equation: 


Simplifying
x + 31x2y = 32xy3 + 28xy3 + -17x2y

Combine like terms: 32xy3 + 28xy3 = 60xy3
x + 31x2y = 60xy3 + -17x2y

Solving
x + 31x2y = 60xy3 + -17x2y

Solving for variable 'x'.

Reorder the terms:
x + -60xy3 + 31x2y + 17x2y = 60xy3 + -17x2y + -60xy3 + 17x2y

Combine like terms: 31x2y + 17x2y = 48x2y
x + -60xy3 + 48x2y = 60xy3 + -17x2y + -60xy3 + 17x2y

Reorder the terms:
x + -60xy3 + 48x2y = 60xy3 + -60xy3 + -17x2y + 17x2y

Combine like terms: 60xy3 + -60xy3 = 0
x + -60xy3 + 48x2y = 0 + -17x2y + 17x2y
x + -60xy3 + 48x2y = -17x2y + 17x2y

Combine like terms: -17x2y + 17x2y = 0
x + -60xy3 + 48x2y = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + -60y3 + 48xy) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(1 + -60y3 + 48xy)' equal to zero and attempt to solve:

Simplifying
1 + -60y3 + 48xy = 0

Reorder the terms:
1 + 48xy + -60y3 = 0

Solving
1 + 48xy + -60y3 = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + 48xy + -1 + -60y3 = 0 + -1

Reorder the terms:
1 + -1 + 48xy + -60y3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 48xy + -60y3 = 0 + -1
48xy + -60y3 = 0 + -1

Combine like terms: 0 + -1 = -1
48xy + -60y3 = -1

Add '60y3' to each side of the equation.
48xy + -60y3 + 60y3 = -1 + 60y3

Combine like terms: -60y3 + 60y3 = 0
48xy + 0 = -1 + 60y3
48xy = -1 + 60y3

Divide each side by '48y'.
x = -0.02083333333y-1 + 1.25y2

Simplifying
x = -0.02083333333y-1 + 1.25y2
Solution
x = {0, -0.02083333333y-1 + 1.25y2}

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