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Simplifying (d + -4)(3d + -7) = 0 Reorder the terms: (-4 + d)(3d + -7) = 0 Reorder the terms: (-4 + d)(-7 + 3d) = 0 Multiply (-4 + d) * (-7 + 3d) (-4(-7 + 3d) + d(-7 + 3d)) = 0 ((-7 * -4 + 3d * -4) + d(-7 + 3d)) = 0 ((28 + -12d) + d(-7 + 3d)) = 0 (28 + -12d + (-7 * d + 3d * d)) = 0 (28 + -12d + (-7d + 3d2)) = 0 Combine like terms: -12d + -7d = -19d (28 + -19d + 3d2) = 0 Solving 28 + -19d + 3d2 = 0 Solving for variable 'd'. Factor a trinomial. (7 + -3d)(4 + -1d) = 0Subproblem 1
Set the factor '(7 + -3d)' equal to zero and attempt to solve: Simplifying 7 + -3d = 0 Solving 7 + -3d = 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 + -3d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3d = 0 + -7 -3d = 0 + -7 Combine like terms: 0 + -7 = -7 -3d = -7 Divide each side by '-3'. d = 2.333333333 Simplifying d = 2.333333333Subproblem 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 = {2.333333333, 4}
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