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Simplifying 3d2 + -20 = 11d Reorder the terms: -20 + 3d2 = 11d Solving -20 + 3d2 = 11d Solving for variable 'd'. Reorder the terms: -20 + -11d + 3d2 = 11d + -11d Combine like terms: 11d + -11d = 0 -20 + -11d + 3d2 = 0 Factor a trinomial. (-4 + -3d)(5 + -1d) = 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 '(5 + -1d)' equal to zero and attempt to solve: Simplifying 5 + -1d = 0 Solving 5 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1d = 0 + -5 -1d = 0 + -5 Combine like terms: 0 + -5 = -5 -1d = -5 Divide each side by '-1'. d = 5 Simplifying d = 5Solution
d = {-1.333333333, 5}
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