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Simplifying 5 = 8d2 + -6d Reorder the terms: 5 = -6d + 8d2 Solving 5 = -6d + 8d2 Solving for variable 'd'. Reorder the terms: 5 + 6d + -8d2 = -6d + 6d + 8d2 + -8d2 Combine like terms: -6d + 6d = 0 5 + 6d + -8d2 = 0 + 8d2 + -8d2 5 + 6d + -8d2 = 8d2 + -8d2 Combine like terms: 8d2 + -8d2 = 0 5 + 6d + -8d2 = 0 Factor a trinomial. (5 + -4d)(1 + 2d) = 0Subproblem 1
Set the factor '(5 + -4d)' equal to zero and attempt to solve: Simplifying 5 + -4d = 0 Solving 5 + -4d = 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 + -4d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4d = 0 + -5 -4d = 0 + -5 Combine like terms: 0 + -5 = -5 -4d = -5 Divide each side by '-4'. d = 1.25 Simplifying d = 1.25Subproblem 2
Set the factor '(1 + 2d)' equal to zero and attempt to solve: Simplifying 1 + 2d = 0 Solving 1 + 2d = 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 + 2d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2d = 0 + -1 2d = 0 + -1 Combine like terms: 0 + -1 = -1 2d = -1 Divide each side by '2'. d = -0.5 Simplifying d = -0.5Solution
d = {1.25, -0.5}
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