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Simplifying 8r2 + 12r = 0 Reorder the terms: 12r + 8r2 = 0 Solving 12r + 8r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '4r'. 4r(3 + 2r) = 0 Ignore the factor 4.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 = 0Subproblem 2
Set the factor '(3 + 2r)' equal to zero and attempt to solve: Simplifying 3 + 2r = 0 Solving 3 + 2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2r = 0 + -3 2r = 0 + -3 Combine like terms: 0 + -3 = -3 2r = -3 Divide each side by '2'. r = -1.5 Simplifying r = -1.5Solution
r = {0, -1.5}
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