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Simplifying r2 + 12r = -36 Reorder the terms: 12r + r2 = -36 Solving 12r + r2 = -36 Solving for variable 'r'. Reorder the terms: 36 + 12r + r2 = -36 + 36 Combine like terms: -36 + 36 = 0 36 + 12r + r2 = 0 Factor a trinomial. (6 + r)(6 + r) = 0Subproblem 1
Set the factor '(6 + r)' equal to zero and attempt to solve: Simplifying 6 + r = 0 Solving 6 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + r = 0 + -6 r = 0 + -6 Combine like terms: 0 + -6 = -6 r = -6 Simplifying r = -6Subproblem 2
Set the factor '(6 + r)' equal to zero and attempt to solve: Simplifying 6 + r = 0 Solving 6 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + r = 0 + -6 r = 0 + -6 Combine like terms: 0 + -6 = -6 r = -6 Simplifying r = -6Solution
r = {-6, -6}
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