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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 + d2) = 0 Factor a trinomial. 4((-12 + -1d)(5 + -1d)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-12 + -1d)' equal to zero and attempt to solve: Simplifying -12 + -1d = 0 Solving -12 + -1d = 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 + -1d = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1d = 0 + 12 -1d = 0 + 12 Combine like terms: 0 + 12 = 12 -1d = 12 Divide each side by '-1'. d = -12 Simplifying d = -12Subproblem 2
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 = 5Solution
d = {-12, 5}
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