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Simplifying d2 + 32 = 12d Reorder the terms: 32 + d2 = 12d Solving 32 + d2 = 12d Solving for variable 'd'. Reorder the terms: 32 + -12d + d2 = 12d + -12d Combine like terms: 12d + -12d = 0 32 + -12d + d2 = 0 Factor a trinomial. (4 + -1d)(8 + -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 '(8 + -1d)' equal to zero and attempt to solve: Simplifying 8 + -1d = 0 Solving 8 + -1d = 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 + -1d = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1d = 0 + -8 -1d = 0 + -8 Combine like terms: 0 + -8 = -8 -1d = -8 Divide each side by '-1'. d = 8 Simplifying d = 8Solution
d = {4, 8}
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