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Simplifying r2 + 18r + 32 = 0 Reorder the terms: 32 + 18r + r2 = 0 Solving 32 + 18r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (16 + r)(2 + r) = 0Subproblem 1
Set the factor '(16 + r)' equal to zero and attempt to solve: Simplifying 16 + r = 0 Solving 16 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + r = 0 + -16 Combine like terms: 16 + -16 = 0 0 + r = 0 + -16 r = 0 + -16 Combine like terms: 0 + -16 = -16 r = -16 Simplifying r = -16Subproblem 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 = {-16, -2}
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