x^2=-120x

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Solution for x^2=-120x equation:


Simplifying
x2 = -120x

Solving
x2 = -120x

Solving for variable 'x'.

Reorder the terms:
120x + x2 = -120x + 120x

Combine like terms: -120x + 120x = 0
120x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(120 + 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 '(120 + x)' equal to zero and attempt to solve: Simplifying 120 + x = 0 Solving 120 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + x = 0 + -120 x = 0 + -120 Combine like terms: 0 + -120 = -120 x = -120 Simplifying x = -120

Solution

x = {0, -120}

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