4xy^2-6x^2y-9xy^2+12x^2y-10xy^2=

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Solution for 4xy^2-6x^2y-9xy^2+12x^2y-10xy^2= equation: 


Simplifying
4xy2 + -6x2y + -9xy2 + 12x2y + -10xy2 = 0

Reorder the terms:
4xy2 + -9xy2 + -10xy2 + -6x2y + 12x2y = 0

Combine like terms: 4xy2 + -9xy2 = -5xy2
-5xy2 + -10xy2 + -6x2y + 12x2y = 0

Combine like terms: -5xy2 + -10xy2 = -15xy2
-15xy2 + -6x2y + 12x2y = 0

Combine like terms: -6x2y + 12x2y = 6x2y
-15xy2 + 6x2y = 0

Solving
-15xy2 + 6x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3xy'.
3xy(-5y + 2x) = 0

Ignore the factor 3.

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

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 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 '(-5y + 2x)' equal to zero and attempt to solve:

Simplifying
-5y + 2x = 0

Reorder the terms:
2x + -5y = 0

Solving
2x + -5y = 0

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

Add '5y' to each side of the equation.
2x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
2x + 0 = 0 + 5y
2x = 0 + 5y
Remove the zero:
2x = 5y

Divide each side by '2'.
x = 2.5y

Simplifying
x = 2.5y
Solution
x = {2.5y}

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