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