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Simplifying 0 = r2 + -11r + 18 Reorder the terms: 0 = 18 + -11r + r2 Solving 0 = 18 + -11r + r2 Solving for variable 'r'. Combine like terms: 0 + -18 = -18 -18 + 11r + -1r2 = 18 + -11r + r2 + -18 + 11r + -1r2 Reorder the terms: -18 + 11r + -1r2 = 18 + -18 + -11r + 11r + r2 + -1r2 Combine like terms: 18 + -18 = 0 -18 + 11r + -1r2 = 0 + -11r + 11r + r2 + -1r2 -18 + 11r + -1r2 = -11r + 11r + r2 + -1r2 Combine like terms: -11r + 11r = 0 -18 + 11r + -1r2 = 0 + r2 + -1r2 -18 + 11r + -1r2 = r2 + -1r2 Combine like terms: r2 + -1r2 = 0 -18 + 11r + -1r2 = 0 Factor a trinomial. (-9 + r)(2 + -1r) = 0Subproblem 1
Set the factor '(-9 + r)' equal to zero and attempt to solve: Simplifying -9 + r = 0 Solving -9 + r = 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 + r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + r = 0 + 9 r = 0 + 9 Combine like terms: 0 + 9 = 9 r = 9 Simplifying r = 9Subproblem 2
Set the factor '(2 + -1r)' equal to zero and attempt to solve: Simplifying 2 + -1r = 0 Solving 2 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 0 + -2 -1r = 0 + -2 Combine like terms: 0 + -2 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2Solution
r = {9, 2}
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