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Simplifying 12d2 + 20d + 8 = 0 Reorder the terms: 8 + 20d + 12d2 = 0 Solving 8 + 20d + 12d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '4'. 4(2 + 5d + 3d2) = 0 Factor a trinomial. 4((1 + d)(2 + 3d)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + d)' equal to zero and attempt to solve: Simplifying 1 + d = 0 Solving 1 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + d = 0 + -1 d = 0 + -1 Combine like terms: 0 + -1 = -1 d = -1 Simplifying d = -1Subproblem 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 = {-1, -0.6666666667}
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