(D^4+10D^2+9I)*y=0

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Solution for (D^4+10D^2+9I)*y=0 equation: 


Simplifying
(D4 + 10D2 + 9I) * y = 0

Reorder the terms:
(10D2 + D4 + 9I) * y = 0

Reorder the terms for easier multiplication:
y(10D2 + D4 + 9I) = 0
(10D2 * y + D4 * y + 9I * y) = 0
(10yD2 + yD4 + 9yI) = 0

Solving
10yD2 + yD4 + 9yI = 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(10D2 + D4 + 9I) = 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 '(10D2 + D4 + 9I)' equal to zero and attempt to solve:

Simplifying
10D2 + D4 + 9I = 0

Solving
10D2 + D4 + 9I = 0

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

Add '-10D2' to each side of the equation.
10D2 + D4 + -10D2 + 9I = 0 + -10D2

Reorder the terms:
10D2 + -10D2 + D4 + 9I = 0 + -10D2

Combine like terms: 10D2 + -10D2 = 0
0 + D4 + 9I = 0 + -10D2
D4 + 9I = 0 + -10D2
Remove the zero:
D4 + 9I = -10D2

Add '-1D4' to each side of the equation.
D4 + -1D4 + 9I = -10D2 + -1D4

Combine like terms: D4 + -1D4 = 0
0 + 9I = -10D2 + -1D4
9I = -10D2 + -1D4

Add '-9I' to each side of the equation.
9I + -9I = -10D2 + -1D4 + -9I

Combine like terms: 9I + -9I = 0
0 = -10D2 + -1D4 + -9I

Simplifying
0 = -10D2 + -1D4 + -9I

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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