12xy^2+18x=0

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


Simplifying
12xy2 + 18x = 0

Reorder the terms:
18x + 12xy2 = 0

Solving
18x + 12xy2 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '6x'.
6x(3 + 2y2) = 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 '(3 + 2y2)' equal to zero and attempt to solve: Simplifying 3 + 2y2 = 0 Solving 3 + 2y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2y2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2y2 = 0 + -3 2y2 = 0 + -3 Combine like terms: 0 + -3 = -3 2y2 = -3 Add '-2y2' to each side of the equation. 2y2 + -2y2 = -3 + -2y2 Combine like terms: 2y2 + -2y2 = 0 0 = -3 + -2y2 Simplifying 0 = -3 + -2y2 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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