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Simplifying r2 = -12r + -35 Reorder the terms: r2 = -35 + -12r Solving r2 = -35 + -12r Solving for variable 'r'. Reorder the terms: 35 + 12r + r2 = -35 + -12r + 35 + 12r Reorder the terms: 35 + 12r + r2 = -35 + 35 + -12r + 12r Combine like terms: -35 + 35 = 0 35 + 12r + r2 = 0 + -12r + 12r 35 + 12r + r2 = -12r + 12r Combine like terms: -12r + 12r = 0 35 + 12r + r2 = 0 Factor a trinomial. (7 + r)(5 + r) = 0Subproblem 1
Set the factor '(7 + r)' equal to zero and attempt to solve: Simplifying 7 + r = 0 Solving 7 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + r = 0 + -7 r = 0 + -7 Combine like terms: 0 + -7 = -7 r = -7 Simplifying r = -7Subproblem 2
Set the factor '(5 + r)' equal to zero and attempt to solve: Simplifying 5 + r = 0 Solving 5 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + r = 0 + -5 r = 0 + -5 Combine like terms: 0 + -5 = -5 r = -5 Simplifying r = -5Solution
r = {-7, -5}
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