3xy^2(x-y)-10x^2y^2+12xy^3=

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Solution for 3xy^2(x-y)-10x^2y^2+12xy^3= equation: 


Simplifying
3xy2(x + -1y) + -10x2y2 + 12xy3 = 0
(x * 3xy2 + -1y * 3xy2) + -10x2y2 + 12xy3 = 0

Reorder the terms:
(-3xy3 + 3x2y2) + -10x2y2 + 12xy3 = 0
(-3xy3 + 3x2y2) + -10x2y2 + 12xy3 = 0

Reorder the terms:
-3xy3 + 12xy3 + 3x2y2 + -10x2y2 = 0

Combine like terms: -3xy3 + 12xy3 = 9xy3
9xy3 + 3x2y2 + -10x2y2 = 0

Combine like terms: 3x2y2 + -10x2y2 = -7x2y2
9xy3 + -7x2y2 = 0

Solving
9xy3 + -7x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy2'.
xy2(9y + -7x) = 0


Subproblem 1
Set the factor 'xy2' equal to zero and attempt to solve:

Simplifying
xy2 = 0

Solving
xy2 = 0

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

Simplifying
xy2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(9y + -7x)' equal to zero and attempt to solve:

Simplifying
9y + -7x = 0

Reorder the terms:
-7x + 9y = 0

Solving
-7x + 9y = 0

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

Add '-9y' to each side of the equation.
-7x + 9y + -9y = 0 + -9y

Combine like terms: 9y + -9y = 0
-7x + 0 = 0 + -9y
-7x = 0 + -9y
Remove the zero:
-7x = -9y

Divide each side by '-7'.
x = 1.285714286y

Simplifying
x = 1.285714286y
Solution
x = {1.285714286y}

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