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

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


Simplifying
(D3 + -3D2 + 7) * y = 0

Reorder the terms:
(7 + -3D2 + D3) * y = 0

Reorder the terms for easier multiplication:
y(7 + -3D2 + D3) = 0
(7 * y + -3D2 * y + D3 * y) = 0
(7y + -3yD2 + yD3) = 0

Solving
7y + -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(7 + -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 '(7 + -3D2 + D3)' equal to zero and attempt to solve:

Simplifying
7 + -3D2 + D3 = 0

Solving
7 + -3D2 + D3 = 0

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

Add '-7' to each side of the equation.
7 + -3D2 + -7 + D3 = 0 + -7

Reorder the terms:
7 + -7 + -3D2 + D3 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3D2 + D3 = 0 + -7
-3D2 + D3 = 0 + -7

Combine like terms: 0 + -7 = -7
-3D2 + D3 = -7

Add '3D2' to each side of the equation.
-3D2 + 3D2 + D3 = -7 + 3D2

Combine like terms: -3D2 + 3D2 = 0
0 + D3 = -7 + 3D2
D3 = -7 + 3D2

Add '-1D3' to each side of the equation.
D3 + -1D3 = -7 + 3D2 + -1D3

Combine like terms: D3 + -1D3 = 0
0 = -7 + 3D2 + -1D3

Simplifying
0 = -7 + 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}

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