r^2=-7r

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Solution for r^2=-7r equation:


Simplifying
r2 = -7r

Solving
r2 = -7r

Solving for variable 'r'.

Reorder the terms:
7r + r2 = -7r + 7r

Combine like terms: -7r + 7r = 0
7r + r2 = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(7 + 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 '(7 + r)' equal to zero and attempt to solve: Simplifying 7 + r = 0 Solving 7 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + r = 0 + -7 r = 0 + -7 Combine like terms: 0 + -7 = -7 r = -7 Simplifying r = -7

Solution

r = {0, -7}

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