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Simplifying d(2d + -1)(3d + 2)(8 + -1d) = 0 Reorder the terms: d(-1 + 2d)(3d + 2)(8 + -1d) = 0 Reorder the terms: d(-1 + 2d)(2 + 3d)(8 + -1d) = 0 Multiply (-1 + 2d) * (2 + 3d) d(-1(2 + 3d) + 2d * (2 + 3d))(8 + -1d) = 0 d((2 * -1 + 3d * -1) + 2d * (2 + 3d))(8 + -1d) = 0 d((-2 + -3d) + 2d * (2 + 3d))(8 + -1d) = 0 d(-2 + -3d + (2 * 2d + 3d * 2d))(8 + -1d) = 0 d(-2 + -3d + (4d + 6d2))(8 + -1d) = 0 Combine like terms: -3d + 4d = 1d d(-2 + 1d + 6d2)(8 + -1d) = 0 Multiply (-2 + 1d + 6d2) * (8 + -1d) d(-2(8 + -1d) + 1d * (8 + -1d) + 6d2 * (8 + -1d)) = 0 d((8 * -2 + -1d * -2) + 1d * (8 + -1d) + 6d2 * (8 + -1d)) = 0 d((-16 + 2d) + 1d * (8 + -1d) + 6d2 * (8 + -1d)) = 0 d(-16 + 2d + (8 * 1d + -1d * 1d) + 6d2 * (8 + -1d)) = 0 d(-16 + 2d + (8d + -1d2) + 6d2 * (8 + -1d)) = 0 d(-16 + 2d + 8d + -1d2 + (8 * 6d2 + -1d * 6d2)) = 0 d(-16 + 2d + 8d + -1d2 + (48d2 + -6d3)) = 0 Combine like terms: 2d + 8d = 10d d(-16 + 10d + -1d2 + 48d2 + -6d3) = 0 Combine like terms: -1d2 + 48d2 = 47d2 d(-16 + 10d + 47d2 + -6d3) = 0 (-16 * d + 10d * d + 47d2 * d + -6d3 * d) = 0 (-16d + 10d2 + 47d3 + -6d4) = 0 Solving -16d + 10d2 + 47d3 + -6d4 = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), 'd'. d(-16 + 10d + 47d2 + -6d3) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(-16 + 10d + 47d2 + -6d3)' equal to zero and attempt to solve: Simplifying -16 + 10d + 47d2 + -6d3 = 0 Solving -16 + 10d + 47d2 + -6d3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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