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Simplifying 5r(9r + 4) = 0 Reorder the terms: 5r(4 + 9r) = 0 (4 * 5r + 9r * 5r) = 0 (20r + 45r2) = 0 Solving 20r + 45r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '5r'. 5r(4 + 9r) = 0 Ignore the factor 5.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 '(4 + 9r)' equal to zero and attempt to solve: Simplifying 4 + 9r = 0 Solving 4 + 9r = 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 + 9r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9r = 0 + -4 9r = 0 + -4 Combine like terms: 0 + -4 = -4 9r = -4 Divide each side by '9'. r = -0.4444444444 Simplifying r = -0.4444444444Solution
r = {0, -0.4444444444}
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