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Simplifying 4r(9r + 5) = 0 Reorder the terms: 4r(5 + 9r) = 0 (5 * 4r + 9r * 4r) = 0 (20r + 36r2) = 0 Solving 20r + 36r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '4r'. 4r(5 + 9r) = 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 '(5 + 9r)' equal to zero and attempt to solve: Simplifying 5 + 9r = 0 Solving 5 + 9r = 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 + 9r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 9r = 0 + -5 9r = 0 + -5 Combine like terms: 0 + -5 = -5 9r = -5 Divide each side by '9'. r = -0.5555555556 Simplifying r = -0.5555555556Solution
r = {0, -0.5555555556}
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