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Simplifying 10d2 + 17d + 7 = 0 Reorder the terms: 7 + 17d + 10d2 = 0 Solving 7 + 17d + 10d2 = 0 Solving for variable 'd'. Factor a trinomial. (1 + d)(7 + 10d) = 0Subproblem 1
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 = -1Subproblem 2
Set the factor '(7 + 10d)' equal to zero and attempt to solve: Simplifying 7 + 10d = 0 Solving 7 + 10d = 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 + 10d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 10d = 0 + -7 10d = 0 + -7 Combine like terms: 0 + -7 = -7 10d = -7 Divide each side by '10'. d = -0.7 Simplifying d = -0.7Solution
d = {-1, -0.7}
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