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Simplifying 3d2 + -8d = -4 Reorder the terms: -8d + 3d2 = -4 Solving -8d + 3d2 = -4 Solving for variable 'd'. Reorder the terms: 4 + -8d + 3d2 = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -8d + 3d2 = 0 Factor a trinomial. (2 + -3d)(2 + -1d) = 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 '(2 + -1d)' equal to zero and attempt to solve: Simplifying 2 + -1d = 0 Solving 2 + -1d = 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 + -1d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1d = 0 + -2 -1d = 0 + -2 Combine like terms: 0 + -2 = -2 -1d = -2 Divide each side by '-1'. d = 2 Simplifying d = 2Solution
d = {0.6666666667, 2}
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