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Simplifying (r + -5)(r + -18) = 0 Reorder the terms: (-5 + r)(r + -18) = 0 Reorder the terms: (-5 + r)(-18 + r) = 0 Multiply (-5 + r) * (-18 + r) (-5(-18 + r) + r(-18 + r)) = 0 ((-18 * -5 + r * -5) + r(-18 + r)) = 0 ((90 + -5r) + r(-18 + r)) = 0 (90 + -5r + (-18 * r + r * r)) = 0 (90 + -5r + (-18r + r2)) = 0 Combine like terms: -5r + -18r = -23r (90 + -23r + r2) = 0 Solving 90 + -23r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (5 + -1r)(18 + -1r) = 0Subproblem 1
Set the factor '(5 + -1r)' equal to zero and attempt to solve: Simplifying 5 + -1r = 0 Solving 5 + -1r = 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 + -1r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1r = 0 + -5 -1r = 0 + -5 Combine like terms: 0 + -5 = -5 -1r = -5 Divide each side by '-1'. r = 5 Simplifying r = 5Subproblem 2
Set the factor '(18 + -1r)' equal to zero and attempt to solve: Simplifying 18 + -1r = 0 Solving 18 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1r = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1r = 0 + -18 -1r = 0 + -18 Combine like terms: 0 + -18 = -18 -1r = -18 Divide each side by '-1'. r = 18 Simplifying r = 18Solution
r = {5, 18}
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