r^2+16r=0

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Solution for r^2+16r=0 equation:


Simplifying
r2 + 16r = 0

Reorder the terms:
16r + r2 = 0

Solving
16r + r2 = 0

Solving for variable 'r'.

Factor out the Greatest Common Factor (GCF), 'r'.
r(16 + 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 '(16 + r)' equal to zero and attempt to solve: Simplifying 16 + r = 0 Solving 16 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + r = 0 + -16 Combine like terms: 16 + -16 = 0 0 + r = 0 + -16 r = 0 + -16 Combine like terms: 0 + -16 = -16 r = -16 Simplifying r = -16

Solution

r = {0, -16}

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