(4D^4-16D^3+7D^2+4D-2)y=0

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Solution for (4D^4-16D^3+7D^2+4D-2)y=0 equation: 


Simplifying
(4D4 + -16D3 + 7D2 + 4D + -2) * y = 0

Reorder the terms:
(-2 + 4D + 7D2 + -16D3 + 4D4) * y = 0

Reorder the terms for easier multiplication:
y(-2 + 4D + 7D2 + -16D3 + 4D4) = 0
(-2 * y + 4D * y + 7D2 * y + -16D3 * y + 4D4 * y) = 0
(-2y + 4yD + 7yD2 + -16yD3 + 4yD4) = 0

Solving
-2y + 4yD + 7yD2 + -16yD3 + 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(-2 + 4D + 7D2 + -16D3 + 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 '(-2 + 4D + 7D2 + -16D3 + 4D4)' equal to zero and attempt to solve:

Simplifying
-2 + 4D + 7D2 + -16D3 + 4D4 = 0

Solving
-2 + 4D + 7D2 + -16D3 + 4D4 = 0

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

Add '2' to each side of the equation.
-2 + 4D + 7D2 + -16D3 + 2 + 4D4 = 0 + 2

Reorder the terms:
-2 + 2 + 4D + 7D2 + -16D3 + 4D4 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 4D + 7D2 + -16D3 + 4D4 = 0 + 2
4D + 7D2 + -16D3 + 4D4 = 0 + 2

Combine like terms: 0 + 2 = 2
4D + 7D2 + -16D3 + 4D4 = 2

Add '-4D' to each side of the equation.
4D + 7D2 + -16D3 + -4D + 4D4 = 2 + -4D

Reorder the terms:
4D + -4D + 7D2 + -16D3 + 4D4 = 2 + -4D

Combine like terms: 4D + -4D = 0
0 + 7D2 + -16D3 + 4D4 = 2 + -4D
7D2 + -16D3 + 4D4 = 2 + -4D

Add '-7D2' to each side of the equation.
7D2 + -16D3 + -7D2 + 4D4 = 2 + -4D + -7D2

Reorder the terms:
7D2 + -7D2 + -16D3 + 4D4 = 2 + -4D + -7D2

Combine like terms: 7D2 + -7D2 = 0
0 + -16D3 + 4D4 = 2 + -4D + -7D2
-16D3 + 4D4 = 2 + -4D + -7D2

Add '16D3' to each side of the equation.
-16D3 + 16D3 + 4D4 = 2 + -4D + -7D2 + 16D3

Combine like terms: -16D3 + 16D3 = 0
0 + 4D4 = 2 + -4D + -7D2 + 16D3
4D4 = 2 + -4D + -7D2 + 16D3

Add '-4D4' to each side of the equation.
4D4 + -4D4 = 2 + -4D + -7D2 + 16D3 + -4D4

Combine like terms: 4D4 + -4D4 = 0
0 = 2 + -4D + -7D2 + 16D3 + -4D4

Simplifying
0 = 2 + -4D + -7D2 + 16D3 + -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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