2x^2-12x^2y+18xy^2=0

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Solution for 2x^2-12x^2y+18xy^2=0 equation: 


Simplifying
2x2 + -12x2y + 18xy2 = 0

Reorder the terms:
18xy2 + 2x2 + -12x2y = 0

Solving
18xy2 + 2x2 + -12x2y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(9y2 + x + -6xy) = 0

Ignore the factor 2.

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 '(9y2 + x + -6xy)' equal to zero and attempt to solve:

Simplifying
9y2 + x + -6xy = 0

Reorder the terms:
x + -6xy + 9y2 = 0

Solving
x + -6xy + 9y2 = 0

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

Add '-9y2' to each side of the equation.
x + -6xy + 9y2 + -9y2 = 0 + -9y2

Combine like terms: 9y2 + -9y2 = 0
x + -6xy + 0 = 0 + -9y2
x + -6xy = 0 + -9y2
Remove the zero:
x + -6xy = -9y2

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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