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Simplifying r2 + 6r + 7 = -2 Reorder the terms: 7 + 6r + r2 = -2 Solving 7 + 6r + r2 = -2 Solving for variable 'r'. Reorder the terms: 7 + 2 + 6r + r2 = -2 + 2 Combine like terms: 7 + 2 = 9 9 + 6r + r2 = -2 + 2 Combine like terms: -2 + 2 = 0 9 + 6r + r2 = 0 Factor a trinomial. (3 + r)(3 + r) = 0Subproblem 1
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 = -3Subproblem 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 = {-3, -3}
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