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Simplifying 3d2 + 17d + 14 = 0 Reorder the terms: 14 + 17d + 3d2 = 0 Solving 14 + 17d + 3d2 = 0 Solving for variable 'd'. Factor a trinomial. (14 + 3d)(1 + d) = 0Subproblem 1
Set the factor '(14 + 3d)' equal to zero and attempt to solve: Simplifying 14 + 3d = 0 Solving 14 + 3d = 0 Move all terms containing d to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 3d = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 3d = 0 + -14 3d = 0 + -14 Combine like terms: 0 + -14 = -14 3d = -14 Divide each side by '3'. d = -4.666666667 Simplifying d = -4.666666667Subproblem 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 = {-4.666666667, -1}
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