(3x^2y^3+4x^3y^2-y^2)-(-2x^3y^2-7x^2y^3+6y^2)=

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Solution for (3x^2y^3+4x^3y^2-y^2)-(-2x^3y^2-7x^2y^3+6y^2)= equation: 


Simplifying
(3x2y3 + 4x3y2 + -1y2) + -1(-2x3y2 + -7x2y3 + 6y2) = 0

Remove parenthesis around (3x2y3 + 4x3y2 + -1y2)
3x2y3 + 4x3y2 + -1y2 + -1(-2x3y2 + -7x2y3 + 6y2) = 0

Reorder the terms:
3x2y3 + 4x3y2 + -1y2 + -1(-7x2y3 + -2x3y2 + 6y2) = 0
3x2y3 + 4x3y2 + -1y2 + (-7x2y3 * -1 + -2x3y2 * -1 + 6y2 * -1) = 0
3x2y3 + 4x3y2 + -1y2 + (7x2y3 + 2x3y2 + -6y2) = 0

Reorder the terms:
3x2y3 + 7x2y3 + 4x3y2 + 2x3y2 + -1y2 + -6y2 = 0

Combine like terms: 3x2y3 + 7x2y3 = 10x2y3
10x2y3 + 4x3y2 + 2x3y2 + -1y2 + -6y2 = 0

Combine like terms: 4x3y2 + 2x3y2 = 6x3y2
10x2y3 + 6x3y2 + -1y2 + -6y2 = 0

Combine like terms: -1y2 + -6y2 = -7y2
10x2y3 + 6x3y2 + -7y2 = 0

Solving
10x2y3 + 6x3y2 + -7y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y2'.
y2(10x2y + 6x3 + -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 '(10x2y + 6x3 + -7)' equal to zero and attempt to solve:

Simplifying
10x2y + 6x3 + -7 = 0

Reorder the terms:
-7 + 10x2y + 6x3 = 0

Solving
-7 + 10x2y + 6x3 = 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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