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Simplifying 3d2 + -11d = 4 Reorder the terms: -11d + 3d2 = 4 Solving -11d + 3d2 = 4 Solving for variable 'd'. Reorder the terms: -4 + -11d + 3d2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -11d + 3d2 = 0 Factor a trinomial. (-1 + -3d)(4 + -1d) = 0Subproblem 1
Set the factor '(-1 + -3d)' equal to zero and attempt to solve: Simplifying -1 + -3d = 0 Solving -1 + -3d = 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 + -3d = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3d = 0 + 1 -3d = 0 + 1 Combine like terms: 0 + 1 = 1 -3d = 1 Divide each side by '-3'. d = -0.3333333333 Simplifying d = -0.3333333333Subproblem 2
Set the factor '(4 + -1d)' equal to zero and attempt to solve: Simplifying 4 + -1d = 0 Solving 4 + -1d = 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 + -1d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1d = 0 + -4 -1d = 0 + -4 Combine like terms: 0 + -4 = -4 -1d = -4 Divide each side by '-1'. d = 4 Simplifying d = 4Solution
d = {-0.3333333333, 4}
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