=x^2-12xy+3z^2x^2

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Solution for =x^2-12xy+3z^2x^2 equation: 


Simplifying
0 = x2 + -12xy + 3z2x2

Reorder the terms:
0 = -12xy + x2 + 3x2z2

Solving
0 = -12xy + x2 + 3x2z2

Solving for variable 'x'.
Remove the zero:
12xy + -1x2 + -3x2z2 = -12xy + x2 + 3x2z2 + 12xy + -1x2 + -3x2z2

Reorder the terms:
12xy + -1x2 + -3x2z2 = -12xy + 12xy + x2 + -1x2 + 3x2z2 + -3x2z2

Combine like terms: -12xy + 12xy = 0
12xy + -1x2 + -3x2z2 = 0 + x2 + -1x2 + 3x2z2 + -3x2z2
12xy + -1x2 + -3x2z2 = x2 + -1x2 + 3x2z2 + -3x2z2

Combine like terms: x2 + -1x2 = 0
12xy + -1x2 + -3x2z2 = 0 + 3x2z2 + -3x2z2
12xy + -1x2 + -3x2z2 = 3x2z2 + -3x2z2

Combine like terms: 3x2z2 + -3x2z2 = 0
12xy + -1x2 + -3x2z2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(12y + -1x + -3xz2) = 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 '(12y + -1x + -3xz2)' equal to zero and attempt to solve:

Simplifying
12y + -1x + -3xz2 = 0

Reorder the terms:
-1x + -3xz2 + 12y = 0

Solving
-1x + -3xz2 + 12y = 0

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

Add '-12y' to each side of the equation.
-1x + -3xz2 + 12y + -12y = 0 + -12y

Combine like terms: 12y + -12y = 0
-1x + -3xz2 + 0 = 0 + -12y
-1x + -3xz2 = 0 + -12y
Remove the zero:
-1x + -3xz2 = -12y

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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