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Simplifying (2 + -3d)(4 + -3d) = 0 Multiply (2 + -3d) * (4 + -3d) (2(4 + -3d) + -3d * (4 + -3d)) = 0 ((4 * 2 + -3d * 2) + -3d * (4 + -3d)) = 0 ((8 + -6d) + -3d * (4 + -3d)) = 0 (8 + -6d + (4 * -3d + -3d * -3d)) = 0 (8 + -6d + (-12d + 9d2)) = 0 Combine like terms: -6d + -12d = -18d (8 + -18d + 9d2) = 0 Solving 8 + -18d + 9d2 = 0 Solving for variable 'd'. Factor a trinomial. (2 + -3d)(4 + -3d) = 0Subproblem 1
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 = 0.6666666667Subproblem 2
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 = 1.333333333Solution
d = {0.6666666667, 1.333333333}
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