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Simplifying 12d2 + 25d + 12 = 0 Reorder the terms: 12 + 25d + 12d2 = 0 Solving 12 + 25d + 12d2 = 0 Solving for variable 'd'. Factor a trinomial. (4 + 3d)(3 + 4d) = 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 '(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 = -0.75Solution
d = {-1.333333333, -0.75}
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