2(x^2+8xy^2)=0

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Solution for 2(x^2+8xy^2)=0 equation:


Simplifying
2(x2 + 8xy2) = 0

Reorder the terms:
2(8xy2 + x2) = 0
(8xy2 * 2 + x2 * 2) = 0
(16xy2 + 2x2) = 0

Solving
16xy2 + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(8y2 + x) = 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 '(8y2 + x)' equal to zero and attempt to solve: Simplifying 8y2 + x = 0 Reorder the terms: x + 8y2 = 0 Solving x + 8y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-8y2' to each side of the equation. x + 8y2 + -8y2 = 0 + -8y2 Combine like terms: 8y2 + -8y2 = 0 x + 0 = 0 + -8y2 x = 0 + -8y2 Remove the zero: x = -8y2 Simplifying x = -8y2

Solution

x = {0, -8y2}

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