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Simplifying 8d2 + 26d = -15 Reorder the terms: 26d + 8d2 = -15 Solving 26d + 8d2 = -15 Solving for variable 'd'. Reorder the terms: 15 + 26d + 8d2 = -15 + 15 Combine like terms: -15 + 15 = 0 15 + 26d + 8d2 = 0 Factor a trinomial. (5 + 2d)(3 + 4d) = 0Subproblem 1
Set the factor '(5 + 2d)' equal to zero and attempt to solve: Simplifying 5 + 2d = 0 Solving 5 + 2d = 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 + 2d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2d = 0 + -5 2d = 0 + -5 Combine like terms: 0 + -5 = -5 2d = -5 Divide each side by '2'. d = -2.5 Simplifying d = -2.5Subproblem 2
Set the factor '(3 + 4d)' equal to zero and attempt to solve: Simplifying 3 + 4d = 0 Solving 3 + 4d = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4d = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4d = 0 + -3 4d = 0 + -3 Combine like terms: 0 + -3 = -3 4d = -3 Divide each side by '4'. d = -0.75 Simplifying d = -0.75Solution
d = {-2.5, -0.75}
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