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Simplifying (2d + -5)(d + 4) = 0 Reorder the terms: (-5 + 2d)(d + 4) = 0 Reorder the terms: (-5 + 2d)(4 + d) = 0 Multiply (-5 + 2d) * (4 + d) (-5(4 + d) + 2d * (4 + d)) = 0 ((4 * -5 + d * -5) + 2d * (4 + d)) = 0 ((-20 + -5d) + 2d * (4 + d)) = 0 (-20 + -5d + (4 * 2d + d * 2d)) = 0 (-20 + -5d + (8d + 2d2)) = 0 Combine like terms: -5d + 8d = 3d (-20 + 3d + 2d2) = 0 Solving -20 + 3d + 2d2 = 0 Solving for variable 'd'. Factor a trinomial. (-4 + -1d)(5 + -2d) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(5 + -2d)' equal to zero and attempt to solve: Simplifying 5 + -2d = 0 Solving 5 + -2d = 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 + -2d = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2d = 0 + -5 -2d = 0 + -5 Combine like terms: 0 + -5 = -5 -2d = -5 Divide each side by '-2'. d = 2.5 Simplifying d = 2.5Solution
d = {-4, 2.5}
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