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Simplifying 24d2 + -28d + -20 = 0 Reorder the terms: -20 + -28d + 24d2 = 0 Solving -20 + -28d + 24d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '4'. 4(-5 + -7d + 6d2) = 0 Factor a trinomial. 4((-1 + -2d)(5 + -3d)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-1 + -2d)' equal to zero and attempt to solve: Simplifying -1 + -2d = 0 Solving -1 + -2d = 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 + -2d = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2d = 0 + 1 -2d = 0 + 1 Combine like terms: 0 + 1 = 1 -2d = 1 Divide each side by '-2'. d = -0.5 Simplifying d = -0.5Subproblem 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 = {-0.5, 1.666666667}
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