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Simplifying 2d2 + 33d + 136 = 0 Reorder the terms: 136 + 33d + 2d2 = 0 Solving 136 + 33d + 2d2 = 0 Solving for variable 'd'. Factor a trinomial. (17 + 2d)(8 + d) = 0Subproblem 1
Set the factor '(17 + 2d)' equal to zero and attempt to solve: Simplifying 17 + 2d = 0 Solving 17 + 2d = 0 Move all terms containing d to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 2d = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2d = 0 + -17 2d = 0 + -17 Combine like terms: 0 + -17 = -17 2d = -17 Divide each side by '2'. d = -8.5 Simplifying d = -8.5Subproblem 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 = {-8.5, -8}
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