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Simplifying r2 = 160 + -12r Solving r2 = 160 + -12r Solving for variable 'r'. Reorder the terms: -160 + 12r + r2 = 160 + -12r + -160 + 12r Reorder the terms: -160 + 12r + r2 = 160 + -160 + -12r + 12r Combine like terms: 160 + -160 = 0 -160 + 12r + r2 = 0 + -12r + 12r -160 + 12r + r2 = -12r + 12r Combine like terms: -12r + 12r = 0 -160 + 12r + r2 = 0 Factor a trinomial. (-20 + -1r)(8 + -1r) = 0Subproblem 1
Set the factor '(-20 + -1r)' equal to zero and attempt to solve: Simplifying -20 + -1r = 0 Solving -20 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1r = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1r = 0 + 20 -1r = 0 + 20 Combine like terms: 0 + 20 = 20 -1r = 20 Divide each side by '-1'. r = -20 Simplifying r = -20Subproblem 2
Set the factor '(8 + -1r)' equal to zero and attempt to solve: Simplifying 8 + -1r = 0 Solving 8 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 0 + -8 -1r = 0 + -8 Combine like terms: 0 + -8 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8Solution
r = {-20, 8}
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