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Simplifying 2r2 + -60 = -7r Reorder the terms: -60 + 2r2 = -7r Solving -60 + 2r2 = -7r Solving for variable 'r'. Reorder the terms: -60 + 7r + 2r2 = -7r + 7r Combine like terms: -7r + 7r = 0 -60 + 7r + 2r2 = 0 Factor a trinomial. (-15 + -2r)(4 + -1r) = 0Subproblem 1
Set the factor '(-15 + -2r)' equal to zero and attempt to solve: Simplifying -15 + -2r = 0 Solving -15 + -2r = 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 + -2r = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2r = 0 + 15 -2r = 0 + 15 Combine like terms: 0 + 15 = 15 -2r = 15 Divide each side by '-2'. r = -7.5 Simplifying r = -7.5Subproblem 2
Set the factor '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4Solution
r = {-7.5, 4}
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