(D^6+9D^4+24D^2+16)y=0

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Solution for (D^6+9D^4+24D^2+16)y=0 equation: 


Simplifying
(D6 + 9D4 + 24D2 + 16) * y = 0

Reorder the terms:
(16 + 24D2 + 9D4 + D6) * y = 0

Reorder the terms for easier multiplication:
y(16 + 24D2 + 9D4 + D6) = 0
(16 * y + 24D2 * y + 9D4 * y + D6 * y) = 0
(16y + 24yD2 + 9yD4 + yD6) = 0

Solving
16y + 24yD2 + 9yD4 + yD6 = 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(16 + 24D2 + 9D4 + D6) = 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 '(16 + 24D2 + 9D4 + D6)' equal to zero and attempt to solve:

Simplifying
16 + 24D2 + 9D4 + D6 = 0

Solving
16 + 24D2 + 9D4 + D6 = 0

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

Add '-16' to each side of the equation.
16 + 24D2 + 9D4 + -16 + D6 = 0 + -16

Reorder the terms:
16 + -16 + 24D2 + 9D4 + D6 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 24D2 + 9D4 + D6 = 0 + -16
24D2 + 9D4 + D6 = 0 + -16

Combine like terms: 0 + -16 = -16
24D2 + 9D4 + D6 = -16

Add '-24D2' to each side of the equation.
24D2 + 9D4 + -24D2 + D6 = -16 + -24D2

Reorder the terms:
24D2 + -24D2 + 9D4 + D6 = -16 + -24D2

Combine like terms: 24D2 + -24D2 = 0
0 + 9D4 + D6 = -16 + -24D2
9D4 + D6 = -16 + -24D2

Add '-9D4' to each side of the equation.
9D4 + -9D4 + D6 = -16 + -24D2 + -9D4

Combine like terms: 9D4 + -9D4 = 0
0 + D6 = -16 + -24D2 + -9D4
D6 = -16 + -24D2 + -9D4

Add '-1D6' to each side of the equation.
D6 + -1D6 = -16 + -24D2 + -9D4 + -1D6

Combine like terms: D6 + -1D6 = 0
0 = -16 + -24D2 + -9D4 + -1D6

Simplifying
0 = -16 + -24D2 + -9D4 + -1D6

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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