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Simplifying 24d2 + 39d + -18 = 0 Reorder the terms: -18 + 39d + 24d2 = 0 Solving -18 + 39d + 24d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '3'. 3(-6 + 13d + 8d2) = 0 Factor a trinomial. 3((-2 + -1d)(3 + -8d)) = 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 '(3 + -8d)' equal to zero and attempt to solve: Simplifying 3 + -8d = 0 Solving 3 + -8d = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8d = 0 + -3 -8d = 0 + -3 Combine like terms: 0 + -3 = -3 -8d = -3 Divide each side by '-8'. d = 0.375 Simplifying d = 0.375Solution
d = {-2, 0.375}
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