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Simplifying 2r2 + 11r = -15 Reorder the terms: 11r + 2r2 = -15 Solving 11r + 2r2 = -15 Solving for variable 'r'. Reorder the terms: 15 + 11r + 2r2 = -15 + 15 Combine like terms: -15 + 15 = 0 15 + 11r + 2r2 = 0 Factor a trinomial. (3 + r)(5 + 2r) = 0Subproblem 1
Set the factor '(3 + r)' equal to zero and attempt to solve: Simplifying 3 + r = 0 Solving 3 + r = 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 + r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + r = 0 + -3 r = 0 + -3 Combine like terms: 0 + -3 = -3 r = -3 Simplifying r = -3Subproblem 2
Set the factor '(5 + 2r)' equal to zero and attempt to solve: Simplifying 5 + 2r = 0 Solving 5 + 2r = 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 + 2r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2r = 0 + -5 2r = 0 + -5 Combine like terms: 0 + -5 = -5 2r = -5 Divide each side by '2'. r = -2.5 Simplifying r = -2.5Solution
r = {-3, -2.5}
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