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Simplifying -4d2 + -28d + 240 = 0 Reorder the terms: 240 + -28d + -4d2 = 0 Solving 240 + -28d + -4d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '4'. 4(60 + -7d + -1d2) = 0 Factor a trinomial. 4((5 + -1d)(12 + d)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + -1d)' equal to zero and attempt to solve: Simplifying 5 + -1d = 0 Solving 5 + -1d = 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 + -1d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1d = 0 + -5 -1d = 0 + -5 Combine like terms: 0 + -5 = -5 -1d = -5 Divide each side by '-1'. d = 5 Simplifying d = 5Subproblem 2
Set the factor '(12 + d)' equal to zero and attempt to solve: Simplifying 12 + d = 0 Solving 12 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + d = 0 + -12 Combine like terms: 12 + -12 = 0 0 + d = 0 + -12 d = 0 + -12 Combine like terms: 0 + -12 = -12 d = -12 Simplifying d = -12Solution
d = {5, -12}
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