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Simplifying -18 + 70d = -8d2 Solving -18 + 70d = -8d2 Solving for variable 'd'. Combine like terms: -8d2 + 8d2 = 0 -18 + 70d + 8d2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 35d + 4d2) = 0 Factor a trinomial. 2((-9 + -1d)(1 + -4d)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + -1d)' equal to zero and attempt to solve: Simplifying -9 + -1d = 0 Solving -9 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1d = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1d = 0 + 9 -1d = 0 + 9 Combine like terms: 0 + 9 = 9 -1d = 9 Divide each side by '-1'. d = -9 Simplifying d = -9Subproblem 2
Set the factor '(1 + -4d)' equal to zero and attempt to solve: Simplifying 1 + -4d = 0 Solving 1 + -4d = 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 + -4d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4d = 0 + -1 -4d = 0 + -1 Combine like terms: 0 + -1 = -1 -4d = -1 Divide each side by '-4'. d = 0.25 Simplifying d = 0.25Solution
d = {-9, 0.25}
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