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Simplifying 6d2 + 5d + -4 = 0 Reorder the terms: -4 + 5d + 6d2 = 0 Solving -4 + 5d + 6d2 = 0 Solving for variable 'd'. Factor a trinomial. (-4 + -3d)(1 + -2d) = 0Subproblem 1
Set the factor '(-4 + -3d)' equal to zero and attempt to solve: Simplifying -4 + -3d = 0 Solving -4 + -3d = 0 Move all terms containing d to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3d = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3d = 0 + 4 -3d = 0 + 4 Combine like terms: 0 + 4 = 4 -3d = 4 Divide each side by '-3'. d = -1.333333333 Simplifying d = -1.333333333Subproblem 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 = {-1.333333333, 0.5}
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