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Simplifying 12d2 + d + -6 = 0 Reorder the terms: -6 + d + 12d2 = 0 Solving -6 + d + 12d2 = 0 Solving for variable 'd'. Factor a trinomial. (-3 + -4d)(2 + -3d) = 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 '(2 + -3d)' equal to zero and attempt to solve: Simplifying 2 + -3d = 0 Solving 2 + -3d = 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 + -3d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3d = 0 + -2 -3d = 0 + -2 Combine like terms: 0 + -2 = -2 -3d = -2 Divide each side by '-3'. d = 0.6666666667 Simplifying d = 0.6666666667Solution
d = {-0.75, 0.6666666667}
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