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

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


Simplifying
(7x2y3 + 5x3y2 + -1y2) + -1(-3x3y2 + -2x2y3 + 6y2) = 0

Remove parenthesis around (7x2y3 + 5x3y2 + -1y2)
7x2y3 + 5x3y2 + -1y2 + -1(-3x3y2 + -2x2y3 + 6y2) = 0

Reorder the terms:
7x2y3 + 5x3y2 + -1y2 + -1(-2x2y3 + -3x3y2 + 6y2) = 0
7x2y3 + 5x3y2 + -1y2 + (-2x2y3 * -1 + -3x3y2 * -1 + 6y2 * -1) = 0
7x2y3 + 5x3y2 + -1y2 + (2x2y3 + 3x3y2 + -6y2) = 0

Reorder the terms:
7x2y3 + 2x2y3 + 5x3y2 + 3x3y2 + -1y2 + -6y2 = 0

Combine like terms: 7x2y3 + 2x2y3 = 9x2y3
9x2y3 + 5x3y2 + 3x3y2 + -1y2 + -6y2 = 0

Combine like terms: 5x3y2 + 3x3y2 = 8x3y2
9x2y3 + 8x3y2 + -1y2 + -6y2 = 0

Combine like terms: -1y2 + -6y2 = -7y2
9x2y3 + 8x3y2 + -7y2 = 0

Solving
9x2y3 + 8x3y2 + -7y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(9x2y + 8x3 + -7) = 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 + 8x3 + -7)' equal to zero and attempt to solve:

Simplifying
9x2y + 8x3 + -7 = 0

Reorder the terms:
-7 + 9x2y + 8x3 = 0

Solving
-7 + 9x2y + 8x3 = 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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