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Simplifying r2 + 6r + -1080 = 0 Reorder the terms: -1080 + 6r + r2 = 0 Solving -1080 + 6r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (-36 + -1r)(30 + -1r) = 0Subproblem 1
Set the factor '(-36 + -1r)' equal to zero and attempt to solve: Simplifying -36 + -1r = 0 Solving -36 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -1r = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -1r = 0 + 36 -1r = 0 + 36 Combine like terms: 0 + 36 = 36 -1r = 36 Divide each side by '-1'. r = -36 Simplifying r = -36Subproblem 2
Set the factor '(30 + -1r)' equal to zero and attempt to solve: Simplifying 30 + -1r = 0 Solving 30 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1r = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1r = 0 + -30 -1r = 0 + -30 Combine like terms: 0 + -30 = -30 -1r = -30 Divide each side by '-1'. r = 30 Simplifying r = 30Solution
r = {-36, 30}
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