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Simplifying 4r(11r + 7) = 0 Reorder the terms: 4r(7 + 11r) = 0 (7 * 4r + 11r * 4r) = 0 (28r + 44r2) = 0 Solving 28r + 44r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '4r'. 4r(7 + 11r) = 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 '(7 + 11r)' equal to zero and attempt to solve: Simplifying 7 + 11r = 0 Solving 7 + 11r = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 11r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 11r = 0 + -7 11r = 0 + -7 Combine like terms: 0 + -7 = -7 11r = -7 Divide each side by '11'. r = -0.6363636364 Simplifying r = -0.6363636364Solution
r = {0, -0.6363636364}
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