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Simplifying -2d2 + 2d + 40 = 0 Reorder the terms: 40 + 2d + -2d2 = 0 Solving 40 + 2d + -2d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '2'. 2(20 + d + -1d2) = 0 Factor a trinomial. 2((5 + -1d)(4 + d)) = 0 Ignore the factor 2.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 '(4 + d)' equal to zero and attempt to solve: Simplifying 4 + d = 0 Solving 4 + d = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + d = 0 + -4 d = 0 + -4 Combine like terms: 0 + -4 = -4 d = -4 Simplifying d = -4Solution
d = {5, -4}
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