[D^4-4D^3+8D^2-8D+4]y=0

Simple and best practice solution for [D^4-4D^3+8D^2-8D+4]y=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

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
[4y + -8yD + 8yD2 + -4yD3 + yD4] = 0

Solving
4y + -8yD + 8yD2 + -4yD3 + yD4 = 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(4 + -8D + 8D2 + -4D3 + D4) = 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 '(4 + -8D + 8D2 + -4D3 + D4)' equal to zero and attempt to solve:

Simplifying
4 + -8D + 8D2 + -4D3 + D4 = 0

Solving
4 + -8D + 8D2 + -4D3 + D4 = 0

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

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

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

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

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

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

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

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

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

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

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

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

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

Add '-1D4' to each side of the equation.
D4 + -1D4 = -4 + 8D + -8D2 + 4D3 + -1D4

Combine like terms: D4 + -1D4 = 0
0 = -4 + 8D + -8D2 + 4D3 + -1D4

Simplifying
0 = -4 + 8D + -8D2 + 4D3 + -1D4

The solution to this equation could not be determined.

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

See similar equations:

| -8(x-9)=72 | | 9(y-2)+4=13 | | -12=n-13 | | -12+5k=15-4x | | -2r+9=-15 | | 3z-z-4=6 | | (2b-9)(2b+9)= | | 3p-2=-56 | | y=8log(2x) | | 7(7+a)=119 | | -6r-3=81 | | 9(-10+x)=45 | | b-20=40 | | -1-9x=-46 | | -v-8=-11 | | 9(p+10)=0 | | -8(3+x)=-96 | | -9x-2=-155 | | -7=m-20 | | 4(4x-12)=44 | | 143=11r | | -6=r-18 | | 29x-1+65=180 | | 3x+5x+15=16+31 | | 29x-1=65 | | -6(-2+x)=6 | | -7-n=-16 | | 7.1a=35.5 | | Y=5sin(20+3)-7 | | 5a-4=36 | | 5x+15y=5 | | x^2+40x-400=0 |

Equations solver categories