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Simplifying 15d2 + -17d + -2 = 16 Reorder the terms: -2 + -17d + 15d2 = 16 Solving -2 + -17d + 15d2 = 16 Solving for variable 'd'. Reorder the terms: -2 + -16 + -17d + 15d2 = 16 + -16 Combine like terms: -2 + -16 = -18 -18 + -17d + 15d2 = 16 + -16 Combine like terms: 16 + -16 = 0 -18 + -17d + 15d2 = 0 Factor a trinomial. (-2 + -3d)(9 + -5d) = 0Subproblem 1
Set the factor '(-2 + -3d)' equal to zero and attempt to solve: Simplifying -2 + -3d = 0 Solving -2 + -3d = 0 Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3d = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3d = 0 + 2 -3d = 0 + 2 Combine like terms: 0 + 2 = 2 -3d = 2 Divide each side by '-3'. d = -0.6666666667 Simplifying d = -0.6666666667Subproblem 2
Set the factor '(9 + -5d)' equal to zero and attempt to solve: Simplifying 9 + -5d = 0 Solving 9 + -5d = 0 Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5d = 0 + -9 -5d = 0 + -9 Combine like terms: 0 + -9 = -9 -5d = -9 Divide each side by '-5'. d = 1.8 Simplifying d = 1.8Solution
d = {-0.6666666667, 1.8}
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