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Simplifying 2r2 + 11r + 20 = 8 Reorder the terms: 20 + 11r + 2r2 = 8 Solving 20 + 11r + 2r2 = 8 Solving for variable 'r'. Reorder the terms: 20 + -8 + 11r + 2r2 = 8 + -8 Combine like terms: 20 + -8 = 12 12 + 11r + 2r2 = 8 + -8 Combine like terms: 8 + -8 = 0 12 + 11r + 2r2 = 0 Factor a trinomial. (4 + r)(3 + 2r) = 0Subproblem 1
Set the factor '(4 + r)' equal to zero and attempt to solve: Simplifying 4 + r = 0 Solving 4 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r = 0 + -4 r = 0 + -4 Combine like terms: 0 + -4 = -4 r = -4 Simplifying r = -4Subproblem 2
Set the factor '(3 + 2r)' equal to zero and attempt to solve: Simplifying 3 + 2r = 0 Solving 3 + 2r = 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 + 2r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2r = 0 + -3 2r = 0 + -3 Combine like terms: 0 + -3 = -3 2r = -3 Divide each side by '2'. r = -1.5 Simplifying r = -1.5Solution
r = {-4, -1.5}
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