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Simplifying d2 + 17d + 30 = 0 Reorder the terms: 30 + 17d + d2 = 0 Solving 30 + 17d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (15 + d)(2 + d) = 0Subproblem 1
Set the factor '(15 + d)' equal to zero and attempt to solve: Simplifying 15 + d = 0 Solving 15 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + d = 0 + -15 Combine like terms: 15 + -15 = 0 0 + d = 0 + -15 d = 0 + -15 Combine like terms: 0 + -15 = -15 d = -15 Simplifying d = -15Subproblem 2
Set the factor '(2 + d)' equal to zero and attempt to solve: Simplifying 2 + d = 0 Solving 2 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + d = 0 + -2 d = 0 + -2 Combine like terms: 0 + -2 = -2 d = -2 Simplifying d = -2Solution
d = {-15, -2}
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