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Simplifying d2 + -8d + -48 = 0 Reorder the terms: -48 + -8d + d2 = 0 Solving -48 + -8d + d2 = 0 Solving for variable 'd'. Factor a trinomial. (-4 + -1d)(12 + -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 '(12 + -1d)' equal to zero and attempt to solve: Simplifying 12 + -1d = 0 Solving 12 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1d = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1d = 0 + -12 -1d = 0 + -12 Combine like terms: 0 + -12 = -12 -1d = -12 Divide each side by '-1'. d = 12 Simplifying d = 12Solution
d = {-4, 12}
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