(d^3+2d^2+d+2)y=0

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Solution for (d^3+2d^2+d+2)y=0 equation: 


Simplifying
(d3 + 2d2 + d + 2) * y = 0

Reorder the terms:
(2 + d + 2d2 + d3) * y = 0

Reorder the terms for easier multiplication:
y(2 + d + 2d2 + d3) = 0
(2 * y + d * y + 2d2 * y + d3 * y) = 0

Reorder the terms:
(dy + 2d2y + d3y + 2y) = 0
(dy + 2d2y + d3y + 2y) = 0

Solving
dy + 2d2y + d3y + 2y = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(d + 2d2 + d3 + 2) = 0


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

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(d + 2d2 + d3 + 2)' equal to zero and attempt to solve:

Simplifying
d + 2d2 + d3 + 2 = 0

Reorder the terms:
2 + d + 2d2 + d3 = 0

Solving
2 + d + 2d2 + d3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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