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Simplifying 4d2 + -5 = -8d Reorder the terms: -5 + 4d2 = -8d Solving -5 + 4d2 = -8d Solving for variable 'd'. Reorder the terms: -5 + 8d + 4d2 = -8d + 8d Combine like terms: -8d + 8d = 0 -5 + 8d + 4d2 = 0 Factor a trinomial. (-5 + -2d)(1 + -2d) = 0Subproblem 1
Set the factor '(-5 + -2d)' equal to zero and attempt to solve: Simplifying -5 + -2d = 0 Solving -5 + -2d = 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 + -2d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2d = 0 + 5 -2d = 0 + 5 Combine like terms: 0 + 5 = 5 -2d = 5 Divide each side by '-2'. d = -2.5 Simplifying d = -2.5Subproblem 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 = {-2.5, 0.5}
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