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Simplifying 3r2 + 23r + 40 = 0 Reorder the terms: 40 + 23r + 3r2 = 0 Solving 40 + 23r + 3r2 = 0 Solving for variable 'r'. Factor a trinomial. (5 + r)(8 + 3r) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(8 + 3r)' equal to zero and attempt to solve: Simplifying 8 + 3r = 0 Solving 8 + 3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3r = 0 + -8 3r = 0 + -8 Combine like terms: 0 + -8 = -8 3r = -8 Divide each side by '3'. r = -2.666666667 Simplifying r = -2.666666667Solution
r = {-5, -2.666666667}
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