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Simplifying r2 + -135 = -6r Reorder the terms: -135 + r2 = -6r Solving -135 + r2 = -6r Solving for variable 'r'. Reorder the terms: -135 + 6r + r2 = -6r + 6r Combine like terms: -6r + 6r = 0 -135 + 6r + r2 = 0 Factor a trinomial. (-15 + -1r)(9 + -1r) = 0Subproblem 1
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 = -15Subproblem 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 = {-15, 9}
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