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Simplifying 5d2 + 33d + 40 = 0 Reorder the terms: 40 + 33d + 5d2 = 0 Solving 40 + 33d + 5d2 = 0 Solving for variable 'd'. Factor a trinomial. (5 + d)(8 + 5d) = 0Subproblem 1
Set the factor '(5 + d)' equal to zero and attempt to solve: Simplifying 5 + d = 0 Solving 5 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + d = 0 + -5 d = 0 + -5 Combine like terms: 0 + -5 = -5 d = -5 Simplifying d = -5Subproblem 2
Set the factor '(8 + 5d)' equal to zero and attempt to solve: Simplifying 8 + 5d = 0 Solving 8 + 5d = 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 + 5d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5d = 0 + -8 5d = 0 + -8 Combine like terms: 0 + -8 = -8 5d = -8 Divide each side by '5'. d = -1.6 Simplifying d = -1.6Solution
d = {-5, -1.6}
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