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Simplifying d(d + -4) = 96 Reorder the terms: d(-4 + d) = 96 (-4 * d + d * d) = 96 (-4d + d2) = 96 Solving -4d + d2 = 96 Solving for variable 'd'. Reorder the terms: -96 + -4d + d2 = 96 + -96 Combine like terms: 96 + -96 = 0 -96 + -4d + d2 = 0 Factor a trinomial. (-8 + -1d)(12 + -1d) = 0Subproblem 1
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 = -8Subproblem 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 = {-8, 12}
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