(D^3-3D^2+4)x=0

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


Simplifying
(D3 + -3D2 + 4) * x = 0

Reorder the terms:
(4 + -3D2 + D3) * x = 0

Reorder the terms for easier multiplication:
x(4 + -3D2 + D3) = 0
(4 * x + -3D2 * x + D3 * x) = 0
(4x + -3xD2 + xD3) = 0

Solving
4x + -3xD2 + xD3 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + -3D2 + D3) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(4 + -3D2 + D3)' equal to zero and attempt to solve:

Simplifying
4 + -3D2 + D3 = 0

Solving
4 + -3D2 + D3 = 0

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

Add '-4' to each side of the equation.
4 + -3D2 + -4 + D3 = 0 + -4

Reorder the terms:
4 + -4 + -3D2 + D3 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3D2 + D3 = 0 + -4
-3D2 + D3 = 0 + -4

Combine like terms: 0 + -4 = -4
-3D2 + D3 = -4

Add '3D2' to each side of the equation.
-3D2 + 3D2 + D3 = -4 + 3D2

Combine like terms: -3D2 + 3D2 = 0
0 + D3 = -4 + 3D2
D3 = -4 + 3D2

Add '-1D3' to each side of the equation.
D3 + -1D3 = -4 + 3D2 + -1D3

Combine like terms: D3 + -1D3 = 0
0 = -4 + 3D2 + -1D3

Simplifying
0 = -4 + 3D2 + -1D3

The solution to this equation could not be determined.

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

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