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Simplifying 2d2 + -12d + -864 = 0 Reorder the terms: -864 + -12d + 2d2 = 0 Solving -864 + -12d + 2d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '2'. 2(-432 + -6d + d2) = 0 Factor a trinomial. 2((-18 + -1d)(24 + -1d)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-18 + -1d)' equal to zero and attempt to solve: Simplifying -18 + -1d = 0 Solving -18 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1d = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1d = 0 + 18 -1d = 0 + 18 Combine like terms: 0 + 18 = 18 -1d = 18 Divide each side by '-1'. d = -18 Simplifying d = -18Subproblem 2
Set the factor '(24 + -1d)' equal to zero and attempt to solve: Simplifying 24 + -1d = 0 Solving 24 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1d = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1d = 0 + -24 -1d = 0 + -24 Combine like terms: 0 + -24 = -24 -1d = -24 Divide each side by '-1'. d = 24 Simplifying d = 24Solution
d = {-18, 24}
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