x^2=-28x

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Solution for x^2=-28x equation:


Simplifying
x2 = -28x

Solving
x2 = -28x

Solving for variable 'x'.

Reorder the terms:
28x + x2 = -28x + 28x

Combine like terms: -28x + 28x = 0
28x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(28 + 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 '(28 + x)' equal to zero and attempt to solve: Simplifying 28 + x = 0 Solving 28 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + x = 0 + -28 x = 0 + -28 Combine like terms: 0 + -28 = -28 x = -28 Simplifying x = -28

Solution

x = {0, -28}

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