(3x^3y^2+4x^2y^4)-(5x^3y^2-6x^2y^4)=

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Solution for (3x^3y^2+4x^2y^4)-(5x^3y^2-6x^2y^4)= equation: 


Simplifying
(3x3y2 + 4x2y4) + -1(5x3y2 + -6x2y4) = 0

Reorder the terms:
(4x2y4 + 3x3y2) + -1(5x3y2 + -6x2y4) = 0

Remove parenthesis around (4x2y4 + 3x3y2)
4x2y4 + 3x3y2 + -1(5x3y2 + -6x2y4) = 0

Reorder the terms:
4x2y4 + 3x3y2 + -1(-6x2y4 + 5x3y2) = 0
4x2y4 + 3x3y2 + (-6x2y4 * -1 + 5x3y2 * -1) = 0
4x2y4 + 3x3y2 + (6x2y4 + -5x3y2) = 0

Reorder the terms:
4x2y4 + 6x2y4 + 3x3y2 + -5x3y2 = 0

Combine like terms: 4x2y4 + 6x2y4 = 10x2y4
10x2y4 + 3x3y2 + -5x3y2 = 0

Combine like terms: 3x3y2 + -5x3y2 = -2x3y2
10x2y4 + -2x3y2 = 0

Solving
10x2y4 + -2x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2y2'.
2x2y2(5y2 + -1x) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve:

Simplifying
x2y2 = 0

Solving
x2y2 = 0

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

Simplifying
x2y2 = 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 '(5y2 + -1x)' equal to zero and attempt to solve:

Simplifying
5y2 + -1x = 0

Reorder the terms:
-1x + 5y2 = 0

Solving
-1x + 5y2 = 0

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

Add '-5y2' to each side of the equation.
-1x + 5y2 + -5y2 = 0 + -5y2

Combine like terms: 5y2 + -5y2 = 0
-1x + 0 = 0 + -5y2
-1x = 0 + -5y2
Remove the zero:
-1x = -5y2

Divide each side by '-1'.
x = 5y2

Simplifying
x = 5y2
Solution
x = {5y2}

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