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Simplifying -30r2 = -25r Solving -30r2 = -25r Solving for variable 'r'. Reorder the terms: 25r + -30r2 = -25r + 25r Combine like terms: -25r + 25r = 0 25r + -30r2 = 0 Factor out the Greatest Common Factor (GCF), '5r'. 5r(5 + -6r) = 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 '(5 + -6r)' equal to zero and attempt to solve: Simplifying 5 + -6r = 0 Solving 5 + -6r = 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 + -6r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6r = 0 + -5 -6r = 0 + -5 Combine like terms: 0 + -5 = -5 -6r = -5 Divide each side by '-6'. r = 0.8333333333 Simplifying r = 0.8333333333Solution
r = {0, 0.8333333333}
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