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Simplifying 2r(11r + 9) = 0 Reorder the terms: 2r(9 + 11r) = 0 (9 * 2r + 11r * 2r) = 0 (18r + 22r2) = 0 Solving 18r + 22r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2r'. 2r(9 + 11r) = 0 Ignore the factor 2.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 '(9 + 11r)' equal to zero and attempt to solve: Simplifying 9 + 11r = 0 Solving 9 + 11r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 11r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 11r = 0 + -9 11r = 0 + -9 Combine like terms: 0 + -9 = -9 11r = -9 Divide each side by '11'. r = -0.8181818182 Simplifying r = -0.8181818182Solution
r = {0, -0.8181818182}
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