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Simplifying 5d2 + 6d + -8 = 0 Reorder the terms: -8 + 6d + 5d2 = 0 Solving -8 + 6d + 5d2 = 0 Solving for variable 'd'. Factor a trinomial. (-2 + -1d)(4 + -5d) = 0Subproblem 1
Set the factor '(-2 + -1d)' equal to zero and attempt to solve: Simplifying -2 + -1d = 0 Solving -2 + -1d = 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 + -1d = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1d = 0 + 2 -1d = 0 + 2 Combine like terms: 0 + 2 = 2 -1d = 2 Divide each side by '-1'. d = -2 Simplifying d = -2Subproblem 2
Set the factor '(4 + -5d)' equal to zero and attempt to solve: Simplifying 4 + -5d = 0 Solving 4 + -5d = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5d = 0 + -4 -5d = 0 + -4 Combine like terms: 0 + -4 = -4 -5d = -4 Divide each side by '-5'. d = 0.8 Simplifying d = 0.8Solution
d = {-2, 0.8}
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