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Simplifying r2 + 7r + 18 = 8 Reorder the terms: 18 + 7r + r2 = 8 Solving 18 + 7r + r2 = 8 Solving for variable 'r'. Reorder the terms: 18 + -8 + 7r + r2 = 8 + -8 Combine like terms: 18 + -8 = 10 10 + 7r + r2 = 8 + -8 Combine like terms: 8 + -8 = 0 10 + 7r + r2 = 0 Factor a trinomial. (5 + r)(2 + r) = 0Subproblem 1
Set the factor '(5 + r)' equal to zero and attempt to solve: Simplifying 5 + r = 0 Solving 5 + r = 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 + r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + r = 0 + -5 r = 0 + -5 Combine like terms: 0 + -5 = -5 r = -5 Simplifying r = -5Subproblem 2
Set the factor '(2 + r)' equal to zero and attempt to solve: Simplifying 2 + r = 0 Solving 2 + r = 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 + r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + r = 0 + -2 r = 0 + -2 Combine like terms: 0 + -2 = -2 r = -2 Simplifying r = -2Solution
r = {-5, -2}
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