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

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


Simplifying
(3xy2 + -6y + 7x2) + -1(2x2y + x2 + -5xy2) = 0

Reorder the terms:
(3xy2 + 7x2 + -6y) + -1(2x2y + x2 + -5xy2) = 0

Remove parenthesis around (3xy2 + 7x2 + -6y)
3xy2 + 7x2 + -6y + -1(2x2y + x2 + -5xy2) = 0

Reorder the terms:
3xy2 + 7x2 + -6y + -1(-5xy2 + x2 + 2x2y) = 0
3xy2 + 7x2 + -6y + (-5xy2 * -1 + x2 * -1 + 2x2y * -1) = 0
3xy2 + 7x2 + -6y + (5xy2 + -1x2 + -2x2y) = 0

Reorder the terms:
3xy2 + 5xy2 + 7x2 + -1x2 + -2x2y + -6y = 0

Combine like terms: 3xy2 + 5xy2 = 8xy2
8xy2 + 7x2 + -1x2 + -2x2y + -6y = 0

Combine like terms: 7x2 + -1x2 = 6x2
8xy2 + 6x2 + -2x2y + -6y = 0

Solving
8xy2 + 6x2 + -2x2y + -6y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4xy2 + 3x2 + -1x2y + -3y) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4xy2 + 3x2 + -1x2y + -3y)' equal to zero and attempt to solve:

Simplifying
4xy2 + 3x2 + -1x2y + -3y = 0

Solving
4xy2 + 3x2 + -1x2y + -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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