6x^2+12xy^2=0

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Solution for 6x^2+12xy^2=0 equation: 


Simplifying
6x2 + 12xy2 = 0

Reorder the terms:
12xy2 + 6x2 = 0

Solving
12xy2 + 6x2 = 0

Solving for variable 'x'.

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

Ignore the factor 6.

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 '(2y2 + x)' equal to zero and attempt to solve:

Simplifying
2y2 + x = 0

Reorder the terms:
x + 2y2 = 0

Solving
x + 2y2 = 0

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

Add '-2y2' to each side of the equation.
x + 2y2 + -2y2 = 0 + -2y2

Combine like terms: 2y2 + -2y2 = 0
x + 0 = 0 + -2y2
x = 0 + -2y2
Remove the zero:
x = -2y2

Simplifying
x = -2y2
Solution
x = {0, -2y2}

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