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Simplifying -3d2 + -6d + 24 = 0 Reorder the terms: 24 + -6d + -3d2 = 0 Solving 24 + -6d + -3d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '3'. 3(8 + -2d + -1d2) = 0 Factor a trinomial. 3((2 + -1d)(4 + d)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + -1d)' equal to zero and attempt to solve: Simplifying 2 + -1d = 0 Solving 2 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1d = 0 + -2 -1d = 0 + -2 Combine like terms: 0 + -2 = -2 -1d = -2 Divide each side by '-1'. d = 2 Simplifying d = 2Subproblem 2
Set the factor '(4 + d)' equal to zero and attempt to solve: Simplifying 4 + d = 0 Solving 4 + d = 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 + d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + d = 0 + -4 d = 0 + -4 Combine like terms: 0 + -4 = -4 d = -4 Simplifying d = -4Solution
d = {2, -4}
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