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Simplifying 2(4d2 + -11d + 6) = 0 Reorder the terms: 2(6 + -11d + 4d2) = 0 (6 * 2 + -11d * 2 + 4d2 * 2) = 0 (12 + -22d + 8d2) = 0 Solving 12 + -22d + 8d2 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '2'. 2(6 + -11d + 4d2) = 0 Factor a trinomial. 2((3 + -4d)(2 + -1d)) = 0 Ignore the factor 2.Subproblem 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 '(2 + -1d)' equal to zero and attempt to solve: Simplifying 2 + -1d = 0 Solving 2 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1d = 0 + -2 -1d = 0 + -2 Combine like terms: 0 + -2 = -2 -1d = -2 Divide each side by '-1'. d = 2 Simplifying d = 2Solution
d = {0.75, 2}
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