3(x^2+9xy^2)=0

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Solution for 3(x^2+9xy^2)=0 equation:


Simplifying
3(x2 + 9xy2) = 0

Reorder the terms:
3(9xy2 + x2) = 0
(9xy2 * 3 + x2 * 3) = 0
(27xy2 + 3x2) = 0

Solving
27xy2 + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(9y2 + x) = 0

Ignore the factor 3.

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)' equal to zero and attempt to solve: Simplifying 9y2 + x = 0 Reorder the terms: x + 9y2 = 0 Solving x + 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 + 9y2 + -9y2 = 0 + -9y2 Combine like terms: 9y2 + -9y2 = 0 x + 0 = 0 + -9y2 x = 0 + -9y2 Remove the zero: x = -9y2 Simplifying x = -9y2

Solution

x = {0, -9y2}

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