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Simplifying (-3d + -4)(3d + -5) = 0 Reorder the terms: (-4 + -3d)(3d + -5) = 0 Reorder the terms: (-4 + -3d)(-5 + 3d) = 0 Multiply (-4 + -3d) * (-5 + 3d) (-4(-5 + 3d) + -3d * (-5 + 3d)) = 0 ((-5 * -4 + 3d * -4) + -3d * (-5 + 3d)) = 0 ((20 + -12d) + -3d * (-5 + 3d)) = 0 (20 + -12d + (-5 * -3d + 3d * -3d)) = 0 (20 + -12d + (15d + -9d2)) = 0 Combine like terms: -12d + 15d = 3d (20 + 3d + -9d2) = 0 Solving 20 + 3d + -9d2 = 0 Solving for variable 'd'. Factor a trinomial. (5 + -3d)(4 + 3d) = 0Subproblem 1
Set the factor '(5 + -3d)' equal to zero and attempt to solve: Simplifying 5 + -3d = 0 Solving 5 + -3d = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3d = 0 + -5 -3d = 0 + -5 Combine like terms: 0 + -5 = -5 -3d = -5 Divide each side by '-3'. d = 1.666666667 Simplifying d = 1.666666667Subproblem 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 = {1.666666667, -1.333333333}
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