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Simplifying 15d2 + 33d + -36 = 0 Reorder the terms: -36 + 33d + 15d2 = 0 Solving -36 + 33d + 15d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '3'. 3(-12 + 11d + 5d2) = 0 Factor a trinomial. 3((-3 + -1d)(4 + -5d)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -1d)' equal to zero and attempt to solve: Simplifying -3 + -1d = 0 Solving -3 + -1d = 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 + -1d = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1d = 0 + 3 -1d = 0 + 3 Combine like terms: 0 + 3 = 3 -1d = 3 Divide each side by '-1'. d = -3 Simplifying d = -3Subproblem 2
Set the factor '(4 + -5d)' equal to zero and attempt to solve: Simplifying 4 + -5d = 0 Solving 4 + -5d = 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 + -5d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5d = 0 + -4 -5d = 0 + -4 Combine like terms: 0 + -4 = -4 -5d = -4 Divide each side by '-5'. d = 0.8 Simplifying d = 0.8Solution
d = {-3, 0.8}
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