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Simplifying r2 + 16r + 67 = 12 Reorder the terms: 67 + 16r + r2 = 12 Solving 67 + 16r + r2 = 12 Solving for variable 'r'. Reorder the terms: 67 + -12 + 16r + r2 = 12 + -12 Combine like terms: 67 + -12 = 55 55 + 16r + r2 = 12 + -12 Combine like terms: 12 + -12 = 0 55 + 16r + r2 = 0 Factor a trinomial. (11 + r)(5 + r) = 0Subproblem 1
Set the factor '(11 + r)' equal to zero and attempt to solve: Simplifying 11 + r = 0 Solving 11 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + r = 0 + -11 Combine like terms: 11 + -11 = 0 0 + r = 0 + -11 r = 0 + -11 Combine like terms: 0 + -11 = -11 r = -11 Simplifying r = -11Subproblem 2
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 = -5Solution
r = {-11, -5}
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