r^2=-5r

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Solution for r^2=-5r equation:


Simplifying
r2 = -5r

Solving
r2 = -5r

Solving for variable 'r'.

Reorder the terms:
5r + r2 = -5r + 5r

Combine like terms: -5r + 5r = 0
5r + r2 = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(5 + r) = 0

Subproblem 1

Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0

Subproblem 2

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

Solution

r = {0, -5}

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