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Simplifying 4d2 + -16 + -8d + -1d2 = 0 Reorder the terms: -16 + -8d + 4d2 + -1d2 = 0 Combine like terms: 4d2 + -1d2 = 3d2 -16 + -8d + 3d2 = 0 Solving -16 + -8d + 3d2 = 0 Solving for variable 'd'. Factor a trinomial. (-4 + -3d)(4 + -1d) = 0Subproblem 1
Set the factor '(-4 + -3d)' equal to zero and attempt to solve: Simplifying -4 + -3d = 0 Solving -4 + -3d = 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 + -3d = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3d = 0 + 4 -3d = 0 + 4 Combine like terms: 0 + 4 = 4 -3d = 4 Divide each side by '-3'. d = -1.333333333 Simplifying d = -1.333333333Subproblem 2
Set the factor '(4 + -1d)' equal to zero and attempt to solve: Simplifying 4 + -1d = 0 Solving 4 + -1d = 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 + -1d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1d = 0 + -4 -1d = 0 + -4 Combine like terms: 0 + -4 = -4 -1d = -4 Divide each side by '-1'. d = 4 Simplifying d = 4Solution
d = {-1.333333333, 4}
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