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Simplifying d2 = 8d + -16 Reorder the terms: d2 = -16 + 8d Solving d2 = -16 + 8d Solving for variable 'd'. Reorder the terms: 16 + -8d + d2 = -16 + 8d + 16 + -8d Reorder the terms: 16 + -8d + d2 = -16 + 16 + 8d + -8d Combine like terms: -16 + 16 = 0 16 + -8d + d2 = 0 + 8d + -8d 16 + -8d + d2 = 8d + -8d Combine like terms: 8d + -8d = 0 16 + -8d + d2 = 0 Factor a trinomial. (4 + -1d)(4 + -1d) = 0Subproblem 1
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 = 4Subproblem 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 = {4, 4}
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