(5x^3y^2-3xy^5+12x^2)-(-9x^2-8x^3y^2+2xy^5)=0

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Solution for (5x^3y^2-3xy^5+12x^2)-(-9x^2-8x^3y^2+2xy^5)=0 equation: 


Simplifying
(5x3y2 + -3xy5 + 12x2) + -1(-9x2 + -8x3y2 + 2xy5) = 0

Reorder the terms:
(-3xy5 + 12x2 + 5x3y2) + -1(-9x2 + -8x3y2 + 2xy5) = 0

Remove parenthesis around (-3xy5 + 12x2 + 5x3y2)
-3xy5 + 12x2 + 5x3y2 + -1(-9x2 + -8x3y2 + 2xy5) = 0

Reorder the terms:
-3xy5 + 12x2 + 5x3y2 + -1(2xy5 + -9x2 + -8x3y2) = 0
-3xy5 + 12x2 + 5x3y2 + (2xy5 * -1 + -9x2 * -1 + -8x3y2 * -1) = 0
-3xy5 + 12x2 + 5x3y2 + (-2xy5 + 9x2 + 8x3y2) = 0

Reorder the terms:
-3xy5 + -2xy5 + 12x2 + 9x2 + 5x3y2 + 8x3y2 = 0

Combine like terms: -3xy5 + -2xy5 = -5xy5
-5xy5 + 12x2 + 9x2 + 5x3y2 + 8x3y2 = 0

Combine like terms: 12x2 + 9x2 = 21x2
-5xy5 + 21x2 + 5x3y2 + 8x3y2 = 0

Combine like terms: 5x3y2 + 8x3y2 = 13x3y2
-5xy5 + 21x2 + 13x3y2 = 0

Solving
-5xy5 + 21x2 + 13x3y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-5y5 + 21x + 13x2y2) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-5y5 + 21x + 13x2y2)' equal to zero and attempt to solve:

Simplifying
-5y5 + 21x + 13x2y2 = 0

Reorder the terms:
21x + 13x2y2 + -5y5 = 0

Solving
21x + 13x2y2 + -5y5 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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