x(3x-3y)-5x^2=12

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Solution for x(3x-3y)-5x^2=12 equation: 


Simplifying
x(3x + -3y) + -5x2 = 12
(3x * x + -3y * x) + -5x2 = 12

Reorder the terms:
(-3xy + 3x2) + -5x2 = 12
(-3xy + 3x2) + -5x2 = 12

Combine like terms: 3x2 + -5x2 = -2x2
-3xy + -2x2 = 12

Solving
-3xy + -2x2 = 12

Solving for variable 'x'.

Reorder the terms:
-12 + -3xy + -2x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + -3xy + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(12 + 3xy + 2x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(12 + 3xy + 2x2)' equal to zero and attempt to solve:

Simplifying
12 + 3xy + 2x2 = 0

Solving
12 + 3xy + 2x2 = 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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