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Simplifying 6d2 + -17d + -45 = 0 Reorder the terms: -45 + -17d + 6d2 = 0 Solving -45 + -17d + 6d2 = 0 Solving for variable 'd'. Factor a trinomial. (-5 + -3d)(9 + -2d) = 0Subproblem 1
Set the factor '(-5 + -3d)' equal to zero and attempt to solve: Simplifying -5 + -3d = 0 Solving -5 + -3d = 0 Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3d = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3d = 0 + 5 -3d = 0 + 5 Combine like terms: 0 + 5 = 5 -3d = 5 Divide each side by '-3'. d = -1.666666667 Simplifying d = -1.666666667Subproblem 2
Set the factor '(9 + -2d)' equal to zero and attempt to solve: Simplifying 9 + -2d = 0 Solving 9 + -2d = 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 + -2d = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2d = 0 + -9 -2d = 0 + -9 Combine like terms: 0 + -9 = -9 -2d = -9 Divide each side by '-2'. d = 4.5 Simplifying d = 4.5Solution
d = {-1.666666667, 4.5}
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