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Simplifying r2 = 12r + -27 Reorder the terms: r2 = -27 + 12r Solving r2 = -27 + 12r Solving for variable 'r'. Reorder the terms: 27 + -12r + r2 = -27 + 12r + 27 + -12r Reorder the terms: 27 + -12r + r2 = -27 + 27 + 12r + -12r Combine like terms: -27 + 27 = 0 27 + -12r + r2 = 0 + 12r + -12r 27 + -12r + r2 = 12r + -12r Combine like terms: 12r + -12r = 0 27 + -12r + r2 = 0 Factor a trinomial. (3 + -1r)(9 + -1r) = 0Subproblem 1
Set the factor '(3 + -1r)' equal to zero and attempt to solve: Simplifying 3 + -1r = 0 Solving 3 + -1r = 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 + -1r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = 0 + -3 -1r = 0 + -3 Combine like terms: 0 + -3 = -3 -1r = -3 Divide each side by '-1'. r = 3 Simplifying r = 3Subproblem 2
Set the factor '(9 + -1r)' equal to zero and attempt to solve: Simplifying 9 + -1r = 0 Solving 9 + -1r = 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 + -1r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1r = 0 + -9 -1r = 0 + -9 Combine like terms: 0 + -9 = -9 -1r = -9 Divide each side by '-1'. r = 9 Simplifying r = 9Solution
r = {3, 9}
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