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Simplifying 20d2 + 11d + -3 = 0 Reorder the terms: -3 + 11d + 20d2 = 0 Solving -3 + 11d + 20d2 = 0 Solving for variable 'd'. Factor a trinomial. (-3 + -4d)(1 + -5d) = 0Subproblem 1
Set the factor '(-3 + -4d)' equal to zero and attempt to solve: Simplifying -3 + -4d = 0 Solving -3 + -4d = 0 Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4d = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4d = 0 + 3 -4d = 0 + 3 Combine like terms: 0 + 3 = 3 -4d = 3 Divide each side by '-4'. d = -0.75 Simplifying d = -0.75Subproblem 2
Set the factor '(1 + -5d)' equal to zero and attempt to solve: Simplifying 1 + -5d = 0 Solving 1 + -5d = 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 + -5d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5d = 0 + -1 -5d = 0 + -1 Combine like terms: 0 + -1 = -1 -5d = -1 Divide each side by '-5'. d = 0.2 Simplifying d = 0.2Solution
d = {-0.75, 0.2}
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