-x^2=5x

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Solution for -x^2=5x equation:


Simplifying
-1x2 = 5x

Solving
-1x2 = 5x

Solving for variable 'x'.

Reorder the terms:
-5x + -1x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-5x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(5 + x) = 0

Ignore the factor -1.

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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Solution

x = {0, -5}

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