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Simplifying (r + -9)(r + 16) = 0 Reorder the terms: (-9 + r)(r + 16) = 0 Reorder the terms: (-9 + r)(16 + r) = 0 Multiply (-9 + r) * (16 + r) (-9(16 + r) + r(16 + r)) = 0 ((16 * -9 + r * -9) + r(16 + r)) = 0 ((-144 + -9r) + r(16 + r)) = 0 (-144 + -9r + (16 * r + r * r)) = 0 (-144 + -9r + (16r + r2)) = 0 Combine like terms: -9r + 16r = 7r (-144 + 7r + r2) = 0 Solving -144 + 7r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (-16 + -1r)(9 + -1r) = 0Subproblem 1
Set the factor '(-16 + -1r)' equal to zero and attempt to solve: Simplifying -16 + -1r = 0 Solving -16 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1r = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1r = 0 + 16 -1r = 0 + 16 Combine like terms: 0 + 16 = 16 -1r = 16 Divide each side by '-1'. r = -16 Simplifying r = -16Subproblem 2
Set the factor '(9 + -1r)' equal to zero and attempt to solve: Simplifying 9 + -1r = 0 Solving 9 + -1r = 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 + -1r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1r = 0 + -9 -1r = 0 + -9 Combine like terms: 0 + -9 = -9 -1r = -9 Divide each side by '-1'. r = 9 Simplifying r = 9Solution
r = {-16, 9}
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