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Simplifying 3d2 + 11d + -4 = 0 Reorder the terms: -4 + 11d + 3d2 = 0 Solving -4 + 11d + 3d2 = 0 Solving for variable 'd'. Factor a trinomial. (-4 + -1d)(1 + -3d) = 0Subproblem 1
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 = -4Subproblem 2
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 = 0.3333333333Solution
d = {-4, 0.3333333333}
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