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Simplifying (5d + -4)(d + -1) = 0 Reorder the terms: (-4 + 5d)(d + -1) = 0 Reorder the terms: (-4 + 5d)(-1 + d) = 0 Multiply (-4 + 5d) * (-1 + d) (-4(-1 + d) + 5d * (-1 + d)) = 0 ((-1 * -4 + d * -4) + 5d * (-1 + d)) = 0 ((4 + -4d) + 5d * (-1 + d)) = 0 (4 + -4d + (-1 * 5d + d * 5d)) = 0 (4 + -4d + (-5d + 5d2)) = 0 Combine like terms: -4d + -5d = -9d (4 + -9d + 5d2) = 0 Solving 4 + -9d + 5d2 = 0 Solving for variable 'd'. Factor a trinomial. (4 + -5d)(1 + -1d) = 0Subproblem 1
Set the factor '(4 + -5d)' equal to zero and attempt to solve: Simplifying 4 + -5d = 0 Solving 4 + -5d = 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 + -5d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5d = 0 + -4 -5d = 0 + -4 Combine like terms: 0 + -4 = -4 -5d = -4 Divide each side by '-5'. d = 0.8 Simplifying d = 0.8Subproblem 2
Set the factor '(1 + -1d)' equal to zero and attempt to solve: Simplifying 1 + -1d = 0 Solving 1 + -1d = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1d = 0 + -1 -1d = 0 + -1 Combine like terms: 0 + -1 = -1 -1d = -1 Divide each side by '-1'. d = 1 Simplifying d = 1Solution
d = {0.8, 1}
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