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Simplifying (4d + -7)(d + -1) = 0 Reorder the terms: (-7 + 4d)(d + -1) = 0 Reorder the terms: (-7 + 4d)(-1 + d) = 0 Multiply (-7 + 4d) * (-1 + d) (-7(-1 + d) + 4d * (-1 + d)) = 0 ((-1 * -7 + d * -7) + 4d * (-1 + d)) = 0 ((7 + -7d) + 4d * (-1 + d)) = 0 (7 + -7d + (-1 * 4d + d * 4d)) = 0 (7 + -7d + (-4d + 4d2)) = 0 Combine like terms: -7d + -4d = -11d (7 + -11d + 4d2) = 0 Solving 7 + -11d + 4d2 = 0 Solving for variable 'd'. Factor a trinomial. (1 + -1d)(7 + -4d) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(7 + -4d)' equal to zero and attempt to solve: Simplifying 7 + -4d = 0 Solving 7 + -4d = 0 Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4d = 0 + -7 -4d = 0 + -7 Combine like terms: 0 + -7 = -7 -4d = -7 Divide each side by '-4'. d = 1.75 Simplifying d = 1.75Solution
d = {1, 1.75}
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