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Simplifying r2 = -12 + -7r Solving r2 = -12 + -7r Solving for variable 'r'. Reorder the terms: 12 + 7r + r2 = -12 + -7r + 12 + 7r Reorder the terms: 12 + 7r + r2 = -12 + 12 + -7r + 7r Combine like terms: -12 + 12 = 0 12 + 7r + r2 = 0 + -7r + 7r 12 + 7r + r2 = -7r + 7r Combine like terms: -7r + 7r = 0 12 + 7r + r2 = 0 Factor a trinomial. (4 + r)(3 + r) = 0Subproblem 1
Set the factor '(4 + r)' equal to zero and attempt to solve: Simplifying 4 + r = 0 Solving 4 + r = 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 + r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r = 0 + -4 r = 0 + -4 Combine like terms: 0 + -4 = -4 r = -4 Simplifying r = -4Subproblem 2
Set the factor '(3 + r)' equal to zero and attempt to solve: Simplifying 3 + r = 0 Solving 3 + r = 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 + r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + r = 0 + -3 r = 0 + -3 Combine like terms: 0 + -3 = -3 r = -3 Simplifying r = -3Solution
r = {-4, -3}
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