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Simplifying (5d + -2)(d + -4) = 0 Reorder the terms: (-2 + 5d)(d + -4) = 0 Reorder the terms: (-2 + 5d)(-4 + d) = 0 Multiply (-2 + 5d) * (-4 + d) (-2(-4 + d) + 5d * (-4 + d)) = 0 ((-4 * -2 + d * -2) + 5d * (-4 + d)) = 0 ((8 + -2d) + 5d * (-4 + d)) = 0 (8 + -2d + (-4 * 5d + d * 5d)) = 0 (8 + -2d + (-20d + 5d2)) = 0 Combine like terms: -2d + -20d = -22d (8 + -22d + 5d2) = 0 Solving 8 + -22d + 5d2 = 0 Solving for variable 'd'. Factor a trinomial. (2 + -5d)(4 + -1d) = 0Subproblem 1
Set the factor '(2 + -5d)' equal to zero and attempt to solve: Simplifying 2 + -5d = 0 Solving 2 + -5d = 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 + -5d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5d = 0 + -2 -5d = 0 + -2 Combine like terms: 0 + -2 = -2 -5d = -2 Divide each side by '-5'. d = 0.4 Simplifying d = 0.4Subproblem 2
Set the factor '(4 + -1d)' equal to zero and attempt to solve: Simplifying 4 + -1d = 0 Solving 4 + -1d = 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 + -1d = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1d = 0 + -4 -1d = 0 + -4 Combine like terms: 0 + -4 = -4 -1d = -4 Divide each side by '-1'. d = 4 Simplifying d = 4Solution
d = {0.4, 4}
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