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Simplifying 4r2 + 28r2 + 40r = 0 Reorder the terms: 40r + 4r2 + 28r2 = 0 Combine like terms: 4r2 + 28r2 = 32r2 40r + 32r2 = 0 Solving 40r + 32r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '8r'. 8r(5 + 4r) = 0 Ignore the factor 8.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 + 4r)' equal to zero and attempt to solve: Simplifying 5 + 4r = 0 Solving 5 + 4r = 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 + 4r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4r = 0 + -5 4r = 0 + -5 Combine like terms: 0 + -5 = -5 4r = -5 Divide each side by '4'. r = -1.25 Simplifying r = -1.25Solution
r = {0, -1.25}
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