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Simplifying r2 = 6r + 135 Reorder the terms: r2 = 135 + 6r Solving r2 = 135 + 6r Solving for variable 'r'. Reorder the terms: -135 + -6r + r2 = 135 + 6r + -135 + -6r Reorder the terms: -135 + -6r + r2 = 135 + -135 + 6r + -6r Combine like terms: 135 + -135 = 0 -135 + -6r + r2 = 0 + 6r + -6r -135 + -6r + r2 = 6r + -6r Combine like terms: 6r + -6r = 0 -135 + -6r + r2 = 0 Factor a trinomial. (-9 + -1r)(15 + -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 '(15 + -1r)' equal to zero and attempt to solve: Simplifying 15 + -1r = 0 Solving 15 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1r = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1r = 0 + -15 -1r = 0 + -15 Combine like terms: 0 + -15 = -15 -1r = -15 Divide each side by '-1'. r = 15 Simplifying r = 15Solution
r = {-9, 15}
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