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Simplifying 9d2 + 24d + 12 = 0 Reorder the terms: 12 + 24d + 9d2 = 0 Solving 12 + 24d + 9d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '3'. 3(4 + 8d + 3d2) = 0 Factor a trinomial. 3((2 + d)(2 + 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 '(2 + 3d)' equal to zero and attempt to solve: Simplifying 2 + 3d = 0 Solving 2 + 3d = 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 + 3d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3d = 0 + -2 3d = 0 + -2 Combine like terms: 0 + -2 = -2 3d = -2 Divide each side by '3'. d = -0.6666666667 Simplifying d = -0.6666666667Solution
d = {-2, -0.6666666667}
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