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

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


Simplifying
(6xy2 + 5x2y + -2y2) + -1(-3x2y + -7xy2 + y2) = 0

Remove parenthesis around (6xy2 + 5x2y + -2y2)
6xy2 + 5x2y + -2y2 + -1(-3x2y + -7xy2 + y2) = 0

Reorder the terms:
6xy2 + 5x2y + -2y2 + -1(-7xy2 + -3x2y + y2) = 0
6xy2 + 5x2y + -2y2 + (-7xy2 * -1 + -3x2y * -1 + y2 * -1) = 0
6xy2 + 5x2y + -2y2 + (7xy2 + 3x2y + -1y2) = 0

Reorder the terms:
6xy2 + 7xy2 + 5x2y + 3x2y + -2y2 + -1y2 = 0

Combine like terms: 6xy2 + 7xy2 = 13xy2
13xy2 + 5x2y + 3x2y + -2y2 + -1y2 = 0

Combine like terms: 5x2y + 3x2y = 8x2y
13xy2 + 8x2y + -2y2 + -1y2 = 0

Combine like terms: -2y2 + -1y2 = -3y2
13xy2 + 8x2y + -3y2 = 0

Solving
13xy2 + 8x2y + -3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(13xy + 8x2 + -3y) = 0


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

Simplifying
y = 0

Solving
y = 0

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

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

Simplifying
0 = -1y

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 '(13xy + 8x2 + -3y)' equal to zero and attempt to solve:

Simplifying
13xy + 8x2 + -3y = 0

Solving
13xy + 8x2 + -3y = 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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