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Simplifying 8r2 + 15 = 29r Reorder the terms: 15 + 8r2 = 29r Solving 15 + 8r2 = 29r Solving for variable 'r'. Reorder the terms: 15 + -29r + 8r2 = 29r + -29r Combine like terms: 29r + -29r = 0 15 + -29r + 8r2 = 0 Factor a trinomial. (5 + -8r)(3 + -1r) = 0Subproblem 1
Set the factor '(5 + -8r)' equal to zero and attempt to solve: Simplifying 5 + -8r = 0 Solving 5 + -8r = 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 + -8r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8r = 0 + -5 -8r = 0 + -5 Combine like terms: 0 + -5 = -5 -8r = -5 Divide each side by '-8'. r = 0.625 Simplifying r = 0.625Subproblem 2
Set the factor '(3 + -1r)' equal to zero and attempt to solve: Simplifying 3 + -1r = 0 Solving 3 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = 0 + -3 -1r = 0 + -3 Combine like terms: 0 + -3 = -3 -1r = -3 Divide each side by '-1'. r = 3 Simplifying r = 3Solution
r = {0.625, 3}
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