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Simplifying 12r = -27 + -1r2 Solving 12r = -27 + -1r2 Solving for variable 'r'. Reorder the terms: 27 + 12r + r2 = -27 + -1r2 + 27 + r2 Reorder the terms: 27 + 12r + r2 = -27 + 27 + -1r2 + r2 Combine like terms: -27 + 27 = 0 27 + 12r + r2 = 0 + -1r2 + r2 27 + 12r + r2 = -1r2 + r2 Combine like terms: -1r2 + r2 = 0 27 + 12r + r2 = 0 Factor a trinomial. (9 + r)(3 + 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 '(3 + r)' equal to zero and attempt to solve: Simplifying 3 + r = 0 Solving 3 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + r = 0 + -3 r = 0 + -3 Combine like terms: 0 + -3 = -3 r = -3 Simplifying r = -3Solution
r = {-9, -3}
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