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Simplifying r3 = 144r Solving r3 = 144r Solving for variable 'r'. Reorder the terms: -144r + r3 = 144r + -144r Combine like terms: 144r + -144r = 0 -144r + r3 = 0 Factor out the Greatest Common Factor (GCF), 'r'. r(-144 + r2) = 0 Factor a difference between two squares. r((12 + r)(-12 + r)) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(12 + r)' equal to zero and attempt to solve: Simplifying 12 + r = 0 Solving 12 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + r = 0 + -12 Combine like terms: 12 + -12 = 0 0 + r = 0 + -12 r = 0 + -12 Combine like terms: 0 + -12 = -12 r = -12 Simplifying r = -12Subproblem 3
Set the factor '(-12 + r)' equal to zero and attempt to solve: Simplifying -12 + r = 0 Solving -12 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + r = 0 + 12 Combine like terms: -12 + 12 = 0 0 + r = 0 + 12 r = 0 + 12 Combine like terms: 0 + 12 = 12 r = 12 Simplifying r = 12Solution
r = {0, -12, 12}
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