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