(D^4+5d^3+6D^2-4D-8)y=0

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Solution for (D^4+5d^3+6D^2-4D-8)y=0 equation: 


Simplifying
(D4 + 5d3 + 6D2 + -4D + -8) * y = 0

Reorder the terms:
(-8 + -4D + 6D2 + D4 + 5d3) * y = 0

Reorder the terms for easier multiplication:
y(-8 + -4D + 6D2 + D4 + 5d3) = 0
(-8 * y + -4D * y + 6D2 * y + D4 * y + 5d3 * y) = 0

Reorder the terms:
(5d3y + -8y + -4yD + 6yD2 + yD4) = 0
(5d3y + -8y + -4yD + 6yD2 + yD4) = 0

Solving
5d3y + -8y + -4yD + 6yD2 + yD4 = 0

Solving for variable 'd'.

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

Add '8y' to each side of the equation.
5d3y + -8y + -4yD + 6yD2 + 8y + yD4 = 0 + 8y

Reorder the terms:
5d3y + -8y + 8y + -4yD + 6yD2 + yD4 = 0 + 8y

Combine like terms: -8y + 8y = 0
5d3y + 0 + -4yD + 6yD2 + yD4 = 0 + 8y
5d3y + -4yD + 6yD2 + yD4 = 0 + 8y
Remove the zero:
5d3y + -4yD + 6yD2 + yD4 = 8y

Add '4yD' to each side of the equation.
5d3y + -4yD + 6yD2 + 4yD + yD4 = 8y + 4yD

Reorder the terms:
5d3y + -4yD + 4yD + 6yD2 + yD4 = 8y + 4yD

Combine like terms: -4yD + 4yD = 0
5d3y + 0 + 6yD2 + yD4 = 8y + 4yD
5d3y + 6yD2 + yD4 = 8y + 4yD

Add '-6yD2' to each side of the equation.
5d3y + 6yD2 + -6yD2 + yD4 = 8y + 4yD + -6yD2

Combine like terms: 6yD2 + -6yD2 = 0
5d3y + 0 + yD4 = 8y + 4yD + -6yD2
5d3y + yD4 = 8y + 4yD + -6yD2

Add '-1yD4' to each side of the equation.
5d3y + yD4 + -1yD4 = 8y + 4yD + -6yD2 + -1yD4

Combine like terms: yD4 + -1yD4 = 0
5d3y + 0 = 8y + 4yD + -6yD2 + -1yD4
5d3y = 8y + 4yD + -6yD2 + -1yD4

Divide each side by '5y'.
d3 = 1.6 + 0.8D + -1.2D2 + -0.2D4

Simplifying
d3 = 1.6 + 0.8D + -1.2D2 + -0.2D4

Reorder the terms:
-1.6 + -0.8D + 1.2D2 + 0.2D4 + d3 = 1.6 + 0.8D + -1.2D2 + -0.2D4 + -1.6 + -0.8D + 1.2D2 + 0.2D4

Reorder the terms:
-1.6 + -0.8D + 1.2D2 + 0.2D4 + d3 = 1.6 + -1.6 + 0.8D + -0.8D + -1.2D2 + 1.2D2 + -0.2D4 + 0.2D4

Combine like terms: 1.6 + -1.6 = 0.0
-1.6 + -0.8D + 1.2D2 + 0.2D4 + d3 = 0.0 + 0.8D + -0.8D + -1.2D2 + 1.2D2 + -0.2D4 + 0.2D4
-1.6 + -0.8D + 1.2D2 + 0.2D4 + d3 = 0.8D + -0.8D + -1.2D2 + 1.2D2 + -0.2D4 + 0.2D4

Combine like terms: 0.8D + -0.8D = 0.0
-1.6 + -0.8D + 1.2D2 + 0.2D4 + d3 = 0.0 + -1.2D2 + 1.2D2 + -0.2D4 + 0.2D4
-1.6 + -0.8D + 1.2D2 + 0.2D4 + d3 = -1.2D2 + 1.2D2 + -0.2D4 + 0.2D4

Combine like terms: -1.2D2 + 1.2D2 = 0.0
-1.6 + -0.8D + 1.2D2 + 0.2D4 + d3 = 0.0 + -0.2D4 + 0.2D4
-1.6 + -0.8D + 1.2D2 + 0.2D4 + d3 = -0.2D4 + 0.2D4

Combine like terms: -0.2D4 + 0.2D4 = 0.0
-1.6 + -0.8D + 1.2D2 + 0.2D4 + d3 = 0.0

The solution to this equation could not be determined.

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