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Simplifying -15r2 = 12r3 Solving -15r2 = 12r3 Solving for variable 'r'. Combine like terms: 12r3 + -12r3 = 0 -15r2 + -12r3 = 0 Factor out the Greatest Common Factor (GCF), '-3r2'. -3r2(5 + 4r) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'r2' equal to zero and attempt to solve: Simplifying r2 = 0 Solving r2 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r2 = 0 Take the square root of each side: r = {0}Subproblem 2
Set the factor '(5 + 4r)' equal to zero and attempt to solve: Simplifying 5 + 4r = 0 Solving 5 + 4r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4r = 0 + -5 4r = 0 + -5 Combine like terms: 0 + -5 = -5 4r = -5 Divide each side by '4'. r = -1.25 Simplifying r = -1.25Solution
r = {0, -1.25}
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