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Simplifying r2 + 8r = 4r Reorder the terms: 8r + r2 = 4r Solving 8r + r2 = 4r Solving for variable 'r'. Reorder the terms: 8r + -4r + r2 = 4r + -4r Combine like terms: 8r + -4r = 4r 4r + r2 = 4r + -4r Combine like terms: 4r + -4r = 0 4r + r2 = 0 Factor out the Greatest Common Factor (GCF), 'r'. r(4 + 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 '(4 + r)' equal to zero and attempt to solve: Simplifying 4 + r = 0 Solving 4 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r = 0 + -4 r = 0 + -4 Combine like terms: 0 + -4 = -4 r = -4 Simplifying r = -4Solution
r = {0, -4}
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