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Simplifying r2 + 36r + 324 = 0 Reorder the terms: 324 + 36r + r2 = 0 Solving 324 + 36r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (18 + r)(18 + r) = 0Subproblem 1
Set the factor '(18 + r)' equal to zero and attempt to solve: Simplifying 18 + r = 0 Solving 18 + r = 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 + r = 0 + -18 Combine like terms: 18 + -18 = 0 0 + r = 0 + -18 r = 0 + -18 Combine like terms: 0 + -18 = -18 r = -18 Simplifying r = -18Subproblem 2
Set the factor '(18 + r)' equal to zero and attempt to solve: Simplifying 18 + r = 0 Solving 18 + r = 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 + r = 0 + -18 Combine like terms: 18 + -18 = 0 0 + r = 0 + -18 r = 0 + -18 Combine like terms: 0 + -18 = -18 r = -18 Simplifying r = -18Solution
r = {-18, -18}
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