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Simplifying r2 = 18 + -7r Solving r2 = 18 + -7r Solving for variable 'r'. Reorder the terms: -18 + 7r + r2 = 18 + -7r + -18 + 7r Reorder the terms: -18 + 7r + r2 = 18 + -18 + -7r + 7r Combine like terms: 18 + -18 = 0 -18 + 7r + r2 = 0 + -7r + 7r -18 + 7r + r2 = -7r + 7r Combine like terms: -7r + 7r = 0 -18 + 7r + r2 = 0 Factor a trinomial. (-9 + -1r)(2 + -1r) = 0Subproblem 1
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 = -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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