(9xy^2+4x^2y)-(x^2y-2xy^2)=

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


Simplifying
(9xy2 + 4x2y) + -1(x2y + -2xy2) = 0

Remove parenthesis around (9xy2 + 4x2y)
9xy2 + 4x2y + -1(x2y + -2xy2) = 0

Reorder the terms:
9xy2 + 4x2y + -1(-2xy2 + x2y) = 0
9xy2 + 4x2y + (-2xy2 * -1 + x2y * -1) = 0
9xy2 + 4x2y + (2xy2 + -1x2y) = 0

Reorder the terms:
9xy2 + 2xy2 + 4x2y + -1x2y = 0

Combine like terms: 9xy2 + 2xy2 = 11xy2
11xy2 + 4x2y + -1x2y = 0

Combine like terms: 4x2y + -1x2y = 3x2y
11xy2 + 3x2y = 0

Solving
11xy2 + 3x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(11y + 3x) = 0


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 '(11y + 3x)' equal to zero and attempt to solve:

Simplifying
11y + 3x = 0

Reorder the terms:
3x + 11y = 0

Solving
3x + 11y = 0

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

Add '-11y' to each side of the equation.
3x + 11y + -11y = 0 + -11y

Combine like terms: 11y + -11y = 0
3x + 0 = 0 + -11y
3x = 0 + -11y
Remove the zero:
3x = -11y

Divide each side by '3'.
x = -3.666666667y

Simplifying
x = -3.666666667y
Solution
x = {-3.666666667y}

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