(6x^2y-4xy^2)-(-9x^2y-7xy^2)=

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Solution for (6x^2y-4xy^2)-(-9x^2y-7xy^2)= equation: 


Simplifying
(6x2y + -4xy2) + -1(-9x2y + -7xy2) = 0

Reorder the terms:
(-4xy2 + 6x2y) + -1(-9x2y + -7xy2) = 0

Remove parenthesis around (-4xy2 + 6x2y)
-4xy2 + 6x2y + -1(-9x2y + -7xy2) = 0

Reorder the terms:
-4xy2 + 6x2y + -1(-7xy2 + -9x2y) = 0
-4xy2 + 6x2y + (-7xy2 * -1 + -9x2y * -1) = 0
-4xy2 + 6x2y + (7xy2 + 9x2y) = 0

Reorder the terms:
-4xy2 + 7xy2 + 6x2y + 9x2y = 0

Combine like terms: -4xy2 + 7xy2 = 3xy2
3xy2 + 6x2y + 9x2y = 0

Combine like terms: 6x2y + 9x2y = 15x2y
3xy2 + 15x2y = 0

Solving
3xy2 + 15x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3xy'.
3xy(y + 5x) = 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 '(y + 5x)' equal to zero and attempt to solve:

Simplifying
y + 5x = 0

Reorder the terms:
5x + y = 0

Solving
5x + y = 0

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

Add '-1y' to each side of the equation.
5x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
5x + 0 = 0 + -1y
5x = 0 + -1y
Remove the zero:
5x = -1y

Divide each side by '5'.
x = -0.2y

Simplifying
x = -0.2y
Solution
x = {-0.2y}

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