(D^4-4D^3+8D^2-8D+4)Y=0

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Solution for (D^4-4D^3+8D^2-8D+4)Y=0 equation:


Simplifying
(D4 + -4D3 + 8D2 + -8D + 4) * Y = 0

Reorder the terms:
(4 + -8D + 8D2 + -4D3 + D4) * Y = 0

Reorder the terms for easier multiplication:
Y(4 + -8D + 8D2 + -4D3 + D4) = 0
(4 * Y + -8D * Y + 8D2 * Y + -4D3 * Y + D4 * Y) = 0

Reorder the terms:
(-8DY + 8D2Y + -4D3Y + D4Y + 4Y) = 0
(-8DY + 8D2Y + -4D3Y + D4Y + 4Y) = 0

Solving
-8DY + 8D2Y + -4D3Y + D4Y + 4Y = 0

Solving for variable 'D'.

Factor out the Greatest Common Factor (GCF), 'Y'.
Y(-8D + 8D2 + -4D3 + D4 + 4) = 0

Subproblem 1

Set the factor 'Y' equal to zero and attempt to solve: Simplifying Y = 0 Solving Y = 0 Move all terms containing D to the left, all other terms to the right. Add '-1Y' to each side of the equation. Y + -1Y = 0 + -1Y Remove the zero: 0 = -1Y Simplifying 0 = -1Y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-8D + 8D2 + -4D3 + D4 + 4)' equal to zero and attempt to solve: Simplifying -8D + 8D2 + -4D3 + D4 + 4 = 0 Reorder the terms: 4 + -8D + 8D2 + -4D3 + D4 = 0 Solving 4 + -8D + 8D2 + -4D3 + D4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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