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Simplifying 2d2 + 6d + -216 = 0 Reorder the terms: -216 + 6d + 2d2 = 0 Solving -216 + 6d + 2d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '2'. 2(-108 + 3d + d2) = 0 Factor a trinomial. 2((-12 + -1d)(9 + -1d)) = 0 Ignore the factor 2.Subproblem 1
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 = -12Subproblem 2
Set the factor '(9 + -1d)' equal to zero and attempt to solve: Simplifying 9 + -1d = 0 Solving 9 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1d = 0 + -9 -1d = 0 + -9 Combine like terms: 0 + -9 = -9 -1d = -9 Divide each side by '-1'. d = 9 Simplifying d = 9Solution
d = {-12, 9}
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