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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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