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Simplifying 6d2 = 11d + -4 Reorder the terms: 6d2 = -4 + 11d Solving 6d2 = -4 + 11d Solving for variable 'd'. Reorder the terms: 4 + -11d + 6d2 = -4 + 11d + 4 + -11d Reorder the terms: 4 + -11d + 6d2 = -4 + 4 + 11d + -11d Combine like terms: -4 + 4 = 0 4 + -11d + 6d2 = 0 + 11d + -11d 4 + -11d + 6d2 = 11d + -11d Combine like terms: 11d + -11d = 0 4 + -11d + 6d2 = 0 Factor a trinomial. (1 + -2d)(4 + -3d) = 0Subproblem 1
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 = 0.5Subproblem 2
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 = 1.333333333Solution
d = {0.5, 1.333333333}
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