(4D^4-7D^3+18D^2-20D+8)y=0

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Solution for (4D^4-7D^3+18D^2-20D+8)y=0 equation: 


Simplifying
(4D4 + -7D3 + 18D2 + -20D + 8) * y = 0

Reorder the terms:
(8 + -20D + 18D2 + -7D3 + 4D4) * y = 0

Reorder the terms for easier multiplication:
y(8 + -20D + 18D2 + -7D3 + 4D4) = 0
(8 * y + -20D * y + 18D2 * y + -7D3 * y + 4D4 * y) = 0
(8y + -20yD + 18yD2 + -7yD3 + 4yD4) = 0

Solving
8y + -20yD + 18yD2 + -7yD3 + 4yD4 = 0

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'y'.
y(8 + -20D + 18D2 + -7D3 + 4D4) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 0

Subproblem 2
Set the factor '(8 + -20D + 18D2 + -7D3 + 4D4)' equal to zero and attempt to solve:

Simplifying
8 + -20D + 18D2 + -7D3 + 4D4 = 0

Solving
8 + -20D + 18D2 + -7D3 + 4D4 = 0

Move all terms containing y to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -20D + 18D2 + -7D3 + -8 + 4D4 = 0 + -8

Reorder the terms:
8 + -8 + -20D + 18D2 + -7D3 + 4D4 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -20D + 18D2 + -7D3 + 4D4 = 0 + -8
-20D + 18D2 + -7D3 + 4D4 = 0 + -8

Combine like terms: 0 + -8 = -8
-20D + 18D2 + -7D3 + 4D4 = -8

Add '20D' to each side of the equation.
-20D + 18D2 + -7D3 + 20D + 4D4 = -8 + 20D

Reorder the terms:
-20D + 20D + 18D2 + -7D3 + 4D4 = -8 + 20D

Combine like terms: -20D + 20D = 0
0 + 18D2 + -7D3 + 4D4 = -8 + 20D
18D2 + -7D3 + 4D4 = -8 + 20D

Add '-18D2' to each side of the equation.
18D2 + -7D3 + -18D2 + 4D4 = -8 + 20D + -18D2

Reorder the terms:
18D2 + -18D2 + -7D3 + 4D4 = -8 + 20D + -18D2

Combine like terms: 18D2 + -18D2 = 0
0 + -7D3 + 4D4 = -8 + 20D + -18D2
-7D3 + 4D4 = -8 + 20D + -18D2

Add '7D3' to each side of the equation.
-7D3 + 7D3 + 4D4 = -8 + 20D + -18D2 + 7D3

Combine like terms: -7D3 + 7D3 = 0
0 + 4D4 = -8 + 20D + -18D2 + 7D3
4D4 = -8 + 20D + -18D2 + 7D3

Add '-4D4' to each side of the equation.
4D4 + -4D4 = -8 + 20D + -18D2 + 7D3 + -4D4

Combine like terms: 4D4 + -4D4 = 0
0 = -8 + 20D + -18D2 + 7D3 + -4D4

Simplifying
0 = -8 + 20D + -18D2 + 7D3 + -4D4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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