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Simplifying r2 = 27 + -6r Solving r2 = 27 + -6r Solving for variable 'r'. Reorder the terms: -27 + 6r + r2 = 27 + -6r + -27 + 6r Reorder the terms: -27 + 6r + r2 = 27 + -27 + -6r + 6r Combine like terms: 27 + -27 = 0 -27 + 6r + r2 = 0 + -6r + 6r -27 + 6r + r2 = -6r + 6r Combine like terms: -6r + 6r = 0 -27 + 6r + r2 = 0 Factor a trinomial. (-9 + -1r)(3 + -1r) = 0Subproblem 1
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 = -9Subproblem 2
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 = 3Solution
r = {-9, 3}
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