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Simplifying 8D2 + 58D + 51 = -39 Reorder the terms: 51 + 58D + 8D2 = -39 Solving 51 + 58D + 8D2 = -39 Solving for variable 'D'. Reorder the terms: 51 + 39 + 58D + 8D2 = -39 + 39 Combine like terms: 51 + 39 = 90 90 + 58D + 8D2 = -39 + 39 Combine like terms: -39 + 39 = 0 90 + 58D + 8D2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(45 + 29D + 4D2) = 0 Factor a trinomial. 2((5 + D)(9 + 4D)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + D)' equal to zero and attempt to solve: Simplifying 5 + D = 0 Solving 5 + D = 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 + D = 0 + -5 Combine like terms: 5 + -5 = 0 0 + D = 0 + -5 D = 0 + -5 Combine like terms: 0 + -5 = -5 D = -5 Simplifying D = -5Subproblem 2
Set the factor '(9 + 4D)' equal to zero and attempt to solve: Simplifying 9 + 4D = 0 Solving 9 + 4D = 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 + 4D = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4D = 0 + -9 4D = 0 + -9 Combine like terms: 0 + -9 = -9 4D = -9 Divide each side by '4'. D = -2.25 Simplifying D = -2.25Solution
D = {-5, -2.25}
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