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Simplifying (r + 7)(r + 8) = 0 Reorder the terms: (7 + r)(r + 8) = 0 Reorder the terms: (7 + r)(8 + r) = 0 Multiply (7 + r) * (8 + r) (7(8 + r) + r(8 + r)) = 0 ((8 * 7 + r * 7) + r(8 + r)) = 0 ((56 + 7r) + r(8 + r)) = 0 (56 + 7r + (8 * r + r * r)) = 0 (56 + 7r + (8r + r2)) = 0 Combine like terms: 7r + 8r = 15r (56 + 15r + r2) = 0 Solving 56 + 15r + r2 = 0 Solving for variable 'r'. Factor a trinomial. (8 + r)(7 + r) = 0Subproblem 1
Set the factor '(8 + r)' equal to zero and attempt to solve: Simplifying 8 + r = 0 Solving 8 + r = 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 + r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + r = 0 + -8 r = 0 + -8 Combine like terms: 0 + -8 = -8 r = -8 Simplifying r = -8Subproblem 2
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 = -7Solution
r = {-8, -7}
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