(D-2)(D^2+2D+10)y=0

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Solution for (D-2)(D^2+2D+10)y=0 equation: 


Simplifying
(D + -2)(D2 + 2D + 10) * y = 0

Reorder the terms:
(-2 + D)(D2 + 2D + 10) * y = 0

Reorder the terms:
(-2 + D)(10 + 2D + D2) * y = 0

Reorder the terms for easier multiplication:
y(-2 + D)(10 + 2D + D2) = 0

Multiply (-2 + D) * (10 + 2D + D2)
y(-2(10 + 2D + D2) + D(10 + 2D + D2)) = 0
y((10 * -2 + 2D * -2 + D2 * -2) + D(10 + 2D + D2)) = 0
y((-20 + -4D + -2D2) + D(10 + 2D + D2)) = 0
y(-20 + -4D + -2D2 + (10 * D + 2D * D + D2 * D)) = 0
y(-20 + -4D + -2D2 + (10D + 2D2 + D3)) = 0

Reorder the terms:
y(-20 + -4D + 10D + -2D2 + 2D2 + D3) = 0

Combine like terms: -4D + 10D = 6D
y(-20 + 6D + -2D2 + 2D2 + D3) = 0

Combine like terms: -2D2 + 2D2 = 0
y(-20 + 6D + 0 + D3) = 0
y(-20 + 6D + D3) = 0
(-20 * y + 6D * y + D3 * y) = 0
(-20y + 6yD + yD3) = 0

Solving
-20y + 6yD + 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(-20 + 6D + 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 '(-20 + 6D + D3)' equal to zero and attempt to solve:

Simplifying
-20 + 6D + D3 = 0

Solving
-20 + 6D + D3 = 0

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

Add '20' to each side of the equation.
-20 + 6D + 20 + D3 = 0 + 20

Reorder the terms:
-20 + 20 + 6D + D3 = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 6D + D3 = 0 + 20
6D + D3 = 0 + 20

Combine like terms: 0 + 20 = 20
6D + D3 = 20

Add '-6D' to each side of the equation.
6D + -6D + D3 = 20 + -6D

Combine like terms: 6D + -6D = 0
0 + D3 = 20 + -6D
D3 = 20 + -6D

Add '-1D3' to each side of the equation.
D3 + -1D3 = 20 + -6D + -1D3

Combine like terms: D3 + -1D3 = 0
0 = 20 + -6D + -1D3

Simplifying
0 = 20 + -6D + -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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