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Simplifying 2d2 + 20d = -18 Reorder the terms: 20d + 2d2 = -18 Solving 20d + 2d2 = -18 Solving for variable 'd'. Reorder the terms: 18 + 20d + 2d2 = -18 + 18 Combine like terms: -18 + 18 = 0 18 + 20d + 2d2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 10d + d2) = 0 Factor a trinomial. 2((9 + d)(1 + d)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + d)' equal to zero and attempt to solve: Simplifying 9 + d = 0 Solving 9 + d = 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 + d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + d = 0 + -9 d = 0 + -9 Combine like terms: 0 + -9 = -9 d = -9 Simplifying d = -9Subproblem 2
Set the factor '(1 + d)' equal to zero and attempt to solve: Simplifying 1 + d = 0 Solving 1 + d = 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 + d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + d = 0 + -1 d = 0 + -1 Combine like terms: 0 + -1 = -1 d = -1 Simplifying d = -1Solution
d = {-9, -1}
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