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Simplifying r2 = 2r + 15 Reorder the terms: r2 = 15 + 2r Solving r2 = 15 + 2r Solving for variable 'r'. Reorder the terms: -15 + -2r + r2 = 15 + 2r + -15 + -2r Reorder the terms: -15 + -2r + r2 = 15 + -15 + 2r + -2r Combine like terms: 15 + -15 = 0 -15 + -2r + r2 = 0 + 2r + -2r -15 + -2r + r2 = 2r + -2r Combine like terms: 2r + -2r = 0 -15 + -2r + 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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