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Simplifying 4r(13r + 9) = 0 Reorder the terms: 4r(9 + 13r) = 0 (9 * 4r + 13r * 4r) = 0 (36r + 52r2) = 0 Solving 36r + 52r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '4r'. 4r(9 + 13r) = 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 '(9 + 13r)' equal to zero and attempt to solve: Simplifying 9 + 13r = 0 Solving 9 + 13r = 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 + 13r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 13r = 0 + -9 13r = 0 + -9 Combine like terms: 0 + -9 = -9 13r = -9 Divide each side by '13'. r = -0.6923076923 Simplifying r = -0.6923076923Solution
r = {0, -0.6923076923}
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