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Simplifying (4r + 9)(r + 8) = 0 Reorder the terms: (9 + 4r)(r + 8) = 0 Reorder the terms: (9 + 4r)(8 + r) = 0 Multiply (9 + 4r) * (8 + r) (9(8 + r) + 4r * (8 + r)) = 0 ((8 * 9 + r * 9) + 4r * (8 + r)) = 0 ((72 + 9r) + 4r * (8 + r)) = 0 (72 + 9r + (8 * 4r + r * 4r)) = 0 (72 + 9r + (32r + 4r2)) = 0 Combine like terms: 9r + 32r = 41r (72 + 41r + 4r2) = 0 Solving 72 + 41r + 4r2 = 0 Solving for variable 'r'. Factor a trinomial. (8 + r)(9 + 4r) = 0Subproblem 1
Set the factor '(8 + r)' equal to zero and attempt to solve: Simplifying 8 + r = 0 Solving 8 + r = 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 + r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + r = 0 + -8 r = 0 + -8 Combine like terms: 0 + -8 = -8 r = -8 Simplifying r = -8Subproblem 2
Set the factor '(9 + 4r)' equal to zero and attempt to solve: Simplifying 9 + 4r = 0 Solving 9 + 4r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4r = 0 + -9 4r = 0 + -9 Combine like terms: 0 + -9 = -9 4r = -9 Divide each side by '4'. r = -2.25 Simplifying r = -2.25Solution
r = {-8, -2.25}
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