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Simplifying r2 + -18r = -56 Reorder the terms: -18r + r2 = -56 Solving -18r + r2 = -56 Solving for variable 'r'. Reorder the terms: 56 + -18r + r2 = -56 + 56 Combine like terms: -56 + 56 = 0 56 + -18r + r2 = 0 Factor a trinomial. (4 + -1r)(14 + -1r) = 0Subproblem 1
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 = 4Subproblem 2
Set the factor '(14 + -1r)' equal to zero and attempt to solve: Simplifying 14 + -1r = 0 Solving 14 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1r = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1r = 0 + -14 -1r = 0 + -14 Combine like terms: 0 + -14 = -14 -1r = -14 Divide each side by '-1'. r = 14 Simplifying r = 14Solution
r = {4, 14}
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