D^4+5D^2+4=0

Solution for D^4+5D^2+4=0 equation:

Simplifying
D4 + 5D2 + 4 = 0

Reorder the terms:
4 + 5D2 + D4 = 0

Solving
4 + 5D2 + D4 = 0

Solving for variable 'D'.

Factor a trinomial.
(4 + D2)(1 + D2) = 0

Subproblem 1
Set the factor '(4 + D2)' equal to zero and attempt to solve:

Simplifying
4 + D2 = 0

Solving
4 + D2 = 0

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

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

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

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

Simplifying
D2 = -4

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 '(1 + D2)' equal to zero and attempt to solve:

Simplifying
1 + D2 = 0

Solving
1 + D2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + D2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + D2 = 0 + -1
D2 = 0 + -1

Combine like terms: 0 + -1 = -1
D2 = -1

Simplifying
D2 = -1

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.