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Simplifying 24r2 = -41r + -12 Reorder the terms: 24r2 = -12 + -41r Solving 24r2 = -12 + -41r Solving for variable 'r'. Reorder the terms: 12 + 41r + 24r2 = -12 + -41r + 12 + 41r Reorder the terms: 12 + 41r + 24r2 = -12 + 12 + -41r + 41r Combine like terms: -12 + 12 = 0 12 + 41r + 24r2 = 0 + -41r + 41r 12 + 41r + 24r2 = -41r + 41r Combine like terms: -41r + 41r = 0 12 + 41r + 24r2 = 0 Factor a trinomial. (4 + 3r)(3 + 8r) = 0Subproblem 1
Set the factor '(4 + 3r)' equal to zero and attempt to solve: Simplifying 4 + 3r = 0 Solving 4 + 3r = 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 + 3r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3r = 0 + -4 3r = 0 + -4 Combine like terms: 0 + -4 = -4 3r = -4 Divide each side by '3'. r = -1.333333333 Simplifying r = -1.333333333Subproblem 2
Set the factor '(3 + 8r)' equal to zero and attempt to solve: Simplifying 3 + 8r = 0 Solving 3 + 8r = 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 + 8r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8r = 0 + -3 8r = 0 + -3 Combine like terms: 0 + -3 = -3 8r = -3 Divide each side by '8'. r = -0.375 Simplifying r = -0.375Solution
r = {-1.333333333, -0.375}
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