3x^2+3y^2-15=6xy-12

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Solution for 3x^2+3y^2-15=6xy-12 equation:


Simplifying
3x2 + 3y2 + -15 = 6xy + -12

Reorder the terms:
-15 + 3x2 + 3y2 = 6xy + -12

Reorder the terms:
-15 + 3x2 + 3y2 = -12 + 6xy

Solving
-15 + 3x2 + 3y2 = -12 + 6xy

Solving for variable 'x'.

Reorder the terms:
-15 + 12 + -6xy + 3x2 + 3y2 = -12 + 6xy + 12 + -6xy

Combine like terms: -15 + 12 = -3
-3 + -6xy + 3x2 + 3y2 = -12 + 6xy + 12 + -6xy

Reorder the terms:
-3 + -6xy + 3x2 + 3y2 = -12 + 12 + 6xy + -6xy

Combine like terms: -12 + 12 = 0
-3 + -6xy + 3x2 + 3y2 = 0 + 6xy + -6xy
-3 + -6xy + 3x2 + 3y2 = 6xy + -6xy

Combine like terms: 6xy + -6xy = 0
-3 + -6xy + 3x2 + 3y2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -2xy + x2 + y2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + -2xy + x2 + y2)' equal to zero and attempt to solve: Simplifying -1 + -2xy + x2 + y2 = 0 Solving -1 + -2xy + x2 + y2 = 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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