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Simplifying r2 = -1r + 12 Reorder the terms: r2 = 12 + -1r Solving r2 = 12 + -1r Solving for variable 'r'. Reorder the terms: -12 + r + r2 = 12 + -1r + -12 + r Reorder the terms: -12 + r + r2 = 12 + -12 + -1r + r Combine like terms: 12 + -12 = 0 -12 + r + r2 = 0 + -1r + r -12 + r + r2 = -1r + r Combine like terms: -1r + r = 0 -12 + r + r2 = 0 Factor a trinomial. (-4 + -1r)(3 + -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 '(3 + -1r)' equal to zero and attempt to solve: Simplifying 3 + -1r = 0 Solving 3 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = 0 + -3 -1r = 0 + -3 Combine like terms: 0 + -3 = -3 -1r = -3 Divide each side by '-1'. r = 3 Simplifying r = 3Solution
r = {-4, 3}
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