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Simplifying 6d2 + 17d + 7 = 0 Reorder the terms: 7 + 17d + 6d2 = 0 Solving 7 + 17d + 6d2 = 0 Solving for variable 'd'. Factor a trinomial. (7 + 3d)(1 + 2d) = 0Subproblem 1
Set the factor '(7 + 3d)' equal to zero and attempt to solve: Simplifying 7 + 3d = 0 Solving 7 + 3d = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3d = 0 + -7 3d = 0 + -7 Combine like terms: 0 + -7 = -7 3d = -7 Divide each side by '3'. d = -2.333333333 Simplifying d = -2.333333333Subproblem 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 = {-2.333333333, -0.5}
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