(x^3+2xy-y^2)-(6x^3+12xy+11y^2)=0

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Solution for (x^3+2xy-y^2)-(6x^3+12xy+11y^2)=0 equation: 


Simplifying
(x3 + 2xy + -1y2) + -1(6x3 + 12xy + 11y2) = 0

Reorder the terms:
(2xy + x3 + -1y2) + -1(6x3 + 12xy + 11y2) = 0

Remove parenthesis around (2xy + x3 + -1y2)
2xy + x3 + -1y2 + -1(6x3 + 12xy + 11y2) = 0

Reorder the terms:
2xy + x3 + -1y2 + -1(12xy + 6x3 + 11y2) = 0
2xy + x3 + -1y2 + (12xy * -1 + 6x3 * -1 + 11y2 * -1) = 0
2xy + x3 + -1y2 + (-12xy + -6x3 + -11y2) = 0

Reorder the terms:
2xy + -12xy + x3 + -6x3 + -1y2 + -11y2 = 0

Combine like terms: 2xy + -12xy = -10xy
-10xy + x3 + -6x3 + -1y2 + -11y2 = 0

Combine like terms: x3 + -6x3 = -5x3
-10xy + -5x3 + -1y2 + -11y2 = 0

Combine like terms: -1y2 + -11y2 = -12y2
-10xy + -5x3 + -12y2 = 0

Solving
-10xy + -5x3 + -12y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(10xy + 5x3 + 12y2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(10xy + 5x3 + 12y2)' equal to zero and attempt to solve:

Simplifying
10xy + 5x3 + 12y2 = 0

Solving
10xy + 5x3 + 12y2 = 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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