(3x^2y^3+2x^3y^2-7y^3)-(-5x^3y^2-6x^2y^3+y^3)=

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Solution for (3x^2y^3+2x^3y^2-7y^3)-(-5x^3y^2-6x^2y^3+y^3)= equation: 


Simplifying
(3x2y3 + 2x3y2 + -7y3) + -1(-5x3y2 + -6x2y3 + y3) = 0

Remove parenthesis around (3x2y3 + 2x3y2 + -7y3)
3x2y3 + 2x3y2 + -7y3 + -1(-5x3y2 + -6x2y3 + y3) = 0

Reorder the terms:
3x2y3 + 2x3y2 + -7y3 + -1(-6x2y3 + -5x3y2 + y3) = 0
3x2y3 + 2x3y2 + -7y3 + (-6x2y3 * -1 + -5x3y2 * -1 + y3 * -1) = 0
3x2y3 + 2x3y2 + -7y3 + (6x2y3 + 5x3y2 + -1y3) = 0

Reorder the terms:
3x2y3 + 6x2y3 + 2x3y2 + 5x3y2 + -7y3 + -1y3 = 0

Combine like terms: 3x2y3 + 6x2y3 = 9x2y3
9x2y3 + 2x3y2 + 5x3y2 + -7y3 + -1y3 = 0

Combine like terms: 2x3y2 + 5x3y2 = 7x3y2
9x2y3 + 7x3y2 + -7y3 + -1y3 = 0

Combine like terms: -7y3 + -1y3 = -8y3
9x2y3 + 7x3y2 + -8y3 = 0

Solving
9x2y3 + 7x3y2 + -8y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(9x2y + 7x3 + -8y) = 0


Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Add '-1y2' to each side of the equation.
y2 + -1y2 = 0 + -1y2
Remove the zero:
0 = -1y2

Simplifying
0 = -1y2

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 '(9x2y + 7x3 + -8y)' equal to zero and attempt to solve:

Simplifying
9x2y + 7x3 + -8y = 0

Solving
9x2y + 7x3 + -8y = 0

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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