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