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Simplifying 4r2 + 23r + 15 = 0 Reorder the terms: 15 + 23r + 4r2 = 0 Solving 15 + 23r + 4r2 = 0 Solving for variable 'r'. Factor a trinomial. (5 + r)(3 + 4r) = 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 '(3 + 4r)' equal to zero and attempt to solve: Simplifying 3 + 4r = 0 Solving 3 + 4r = 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 + 4r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4r = 0 + -3 4r = 0 + -3 Combine like terms: 0 + -3 = -3 4r = -3 Divide each side by '4'. r = -0.75 Simplifying r = -0.75Solution
r = {-5, -0.75}
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