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Simplifying 16d = -1d2 + -64 Reorder the terms: 16d = -64 + -1d2 Solving 16d = -64 + -1d2 Solving for variable 'd'. Reorder the terms: 64 + 16d + d2 = -64 + -1d2 + 64 + d2 Reorder the terms: 64 + 16d + d2 = -64 + 64 + -1d2 + d2 Combine like terms: -64 + 64 = 0 64 + 16d + d2 = 0 + -1d2 + d2 64 + 16d + d2 = -1d2 + d2 Combine like terms: -1d2 + d2 = 0 64 + 16d + d2 = 0 Factor a trinomial. (8 + d)(8 + d) = 0Subproblem 1
Set the factor '(8 + d)' equal to zero and attempt to solve: Simplifying 8 + d = 0 Solving 8 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + d = 0 + -8 d = 0 + -8 Combine like terms: 0 + -8 = -8 d = -8 Simplifying d = -8Subproblem 2
Set the factor '(8 + d)' equal to zero and attempt to solve: Simplifying 8 + d = 0 Solving 8 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + d = 0 + -8 d = 0 + -8 Combine like terms: 0 + -8 = -8 d = -8 Simplifying d = -8Solution
d = {-8, -8}
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