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Simplifying r2 + 18r + 73 = -8 Reorder the terms: 73 + 18r + r2 = -8 Solving 73 + 18r + r2 = -8 Solving for variable 'r'. Reorder the terms: 73 + 8 + 18r + r2 = -8 + 8 Combine like terms: 73 + 8 = 81 81 + 18r + r2 = -8 + 8 Combine like terms: -8 + 8 = 0 81 + 18r + r2 = 0 Factor a trinomial. (9 + r)(9 + r) = 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 '(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 = -9Solution
r = {-9, -9}
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