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Simplifying (d + 9)(d + 8) = 0 Reorder the terms: (9 + d)(d + 8) = 0 Reorder the terms: (9 + d)(8 + d) = 0 Multiply (9 + d) * (8 + d) (9(8 + d) + d(8 + d)) = 0 ((8 * 9 + d * 9) + d(8 + d)) = 0 ((72 + 9d) + d(8 + d)) = 0 (72 + 9d + (8 * d + d * d)) = 0 (72 + 9d + (8d + d2)) = 0 Combine like terms: 9d + 8d = 17d (72 + 17d + d2) = 0 Solving 72 + 17d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (9 + d)(8 + d) = 0Subproblem 1
Set the factor '(9 + d)' equal to zero and attempt to solve: Simplifying 9 + d = 0 Solving 9 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + d = 0 + -9 d = 0 + -9 Combine like terms: 0 + -9 = -9 d = -9 Simplifying d = -9Subproblem 2
Set the factor '(8 + d)' equal to zero and attempt to solve: Simplifying 8 + d = 0 Solving 8 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + d = 0 + -8 d = 0 + -8 Combine like terms: 0 + -8 = -8 d = -8 Simplifying d = -8Solution
d = {-9, -8}
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