(D^3+3D^2+3D+1)y=0

Simple and best practice solution for (D^3+3D^2+3D+1)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^3+3D^2+3D+1)y=0 equation: 


Simplifying
(D3 + 3D2 + 3D + 1) * y = 0

Reorder the terms:
(1 + 3D + 3D2 + D3) * y = 0

Reorder the terms for easier multiplication:
y(1 + 3D + 3D2 + D3) = 0
(1 * y + 3D * y + 3D2 * y + D3 * y) = 0
(1y + 3yD + 3yD2 + yD3) = 0

Solving
1y + 3yD + 3yD2 + yD3 = 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(1 + 3D + 3D2 + D3) = 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 '(1 + 3D + 3D2 + D3)' equal to zero and attempt to solve:

Simplifying
1 + 3D + 3D2 + D3 = 0

Solving
1 + 3D + 3D2 + D3 = 0

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

Add '-1' to each side of the equation.
1 + 3D + 3D2 + -1 + D3 = 0 + -1

Reorder the terms:
1 + -1 + 3D + 3D2 + D3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3D + 3D2 + D3 = 0 + -1
3D + 3D2 + D3 = 0 + -1

Combine like terms: 0 + -1 = -1
3D + 3D2 + D3 = -1

Add '-3D' to each side of the equation.
3D + 3D2 + -3D + D3 = -1 + -3D

Reorder the terms:
3D + -3D + 3D2 + D3 = -1 + -3D

Combine like terms: 3D + -3D = 0
0 + 3D2 + D3 = -1 + -3D
3D2 + D3 = -1 + -3D

Add '-3D2' to each side of the equation.
3D2 + -3D2 + D3 = -1 + -3D + -3D2

Combine like terms: 3D2 + -3D2 = 0
0 + D3 = -1 + -3D + -3D2
D3 = -1 + -3D + -3D2

Add '-1D3' to each side of the equation.
D3 + -1D3 = -1 + -3D + -3D2 + -1D3

Combine like terms: D3 + -1D3 = 0
0 = -1 + -3D + -3D2 + -1D3

Simplifying
0 = -1 + -3D + -3D2 + -1D3

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:

| 5*4n-1= | | 6(x-2)+3(x+2)+(x+3)=11x | | (n-1)(n-2)(n-3)(n-4)=17-2n^3 | | 2k-3=7k | | f(x-1)=f(x-7) | | 15x^2-56=19x | | 3x-15=+5+2(x-10)+x | | 12b+b^2=-22 | | 12b+2b^2=-22 | | 4v=-52 | | 17=(n-1)(n-2)(n-3)(n-4)-(2n^3) | | 3x+x-(5)=2(x-2) | | x^2+6x-315=0 | | x^26=0 | | 4b-4=3 | | (22.56-11.56)2-10+31-102-9= | | 8x+-3x+2+-1x=4x+1 | | 8x+-3x+2+-1x=3x+9 | | 2x(x+4)= | | 6-(-2+8I)-(-2-i)= | | 8x+-3x+2+-1x=6x+0 | | -6w+4(w-2)=12 | | 8x+-3x+2+-1x=0x+9 | | 8x+-3x+2+-1x=9x+1 | | x^2+9y^2-10x+36y-20=0 | | 8x+-3x+2+-1x=3x+1 | | 6(-5)(1)(-1)(-1)(-1)= | | 2x-6=-14-2 | | 5a-8=5(a+1)+13a+1 | | -x*-4+9=6x*-4 | | 8x+-3x+2+-1x=0x+1 | | 4In(x-1)=20 |

Equations solver categories