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Simplifying 9d2 + 33d + 30 = 0 Reorder the terms: 30 + 33d + 9d2 = 0 Solving 30 + 33d + 9d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '3'. 3(10 + 11d + 3d2) = 0 Factor a trinomial. 3((2 + d)(5 + 3d)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + d)' equal to zero and attempt to solve: Simplifying 2 + d = 0 Solving 2 + d = 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 + d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + d = 0 + -2 d = 0 + -2 Combine like terms: 0 + -2 = -2 d = -2 Simplifying d = -2Subproblem 2
Set the factor '(5 + 3d)' equal to zero and attempt to solve: Simplifying 5 + 3d = 0 Solving 5 + 3d = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3d = 0 + -5 3d = 0 + -5 Combine like terms: 0 + -5 = -5 3d = -5 Divide each side by '3'. d = -1.666666667 Simplifying d = -1.666666667Solution
d = {-2, -1.666666667}
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