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Simplifying 15 + 26d = 8d2 Solving 15 + 26d = 8d2 Solving for variable 'd'. Combine like terms: 8d2 + -8d2 = 0 15 + 26d + -8d2 = 0 Factor a trinomial. (15 + -4d)(1 + 2d) = 0Subproblem 1
Set the factor '(15 + -4d)' equal to zero and attempt to solve: Simplifying 15 + -4d = 0 Solving 15 + -4d = 0 Move all terms containing d to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4d = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4d = 0 + -15 -4d = 0 + -15 Combine like terms: 0 + -15 = -15 -4d = -15 Divide each side by '-4'. d = 3.75 Simplifying d = 3.75Subproblem 2
Set the factor '(1 + 2d)' equal to zero and attempt to solve: Simplifying 1 + 2d = 0 Solving 1 + 2d = 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 + 2d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2d = 0 + -1 2d = 0 + -1 Combine like terms: 0 + -1 = -1 2d = -1 Divide each side by '2'. d = -0.5 Simplifying d = -0.5Solution
d = {3.75, -0.5}
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