x^2=-16x

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Solution for x^2=-16x equation:


Simplifying
x2 = -16x

Solving
x2 = -16x

Solving for variable 'x'.

Reorder the terms:
16x + x2 = -16x + 16x

Combine like terms: -16x + 16x = 0
16x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(16 + x) = 0

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 '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16

Solution

x = {0, -16}

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