Y^6+9y^4-4y^3+27y^2+27=0

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Solution for Y^6+9y^4-4y^3+27y^2+27=0 equation: 


Simplifying
Y6 + 9y4 + -4y3 + 27y2 + 27 = 0

Reorder the terms:
27 + Y6 + 27y2 + -4y3 + 9y4 = 0

Solving
27 + Y6 + 27y2 + -4y3 + 9y4 = 0

Solving for variable 'Y'.

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

Add '-27' to each side of the equation.
27 + Y6 + 27y2 + -4y3 + -27 + 9y4 = 0 + -27

Reorder the terms:
27 + -27 + Y6 + 27y2 + -4y3 + 9y4 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + Y6 + 27y2 + -4y3 + 9y4 = 0 + -27
Y6 + 27y2 + -4y3 + 9y4 = 0 + -27

Combine like terms: 0 + -27 = -27
Y6 + 27y2 + -4y3 + 9y4 = -27

Add '-27y2' to each side of the equation.
Y6 + 27y2 + -4y3 + -27y2 + 9y4 = -27 + -27y2

Reorder the terms:
Y6 + 27y2 + -27y2 + -4y3 + 9y4 = -27 + -27y2

Combine like terms: 27y2 + -27y2 = 0
Y6 + 0 + -4y3 + 9y4 = -27 + -27y2
Y6 + -4y3 + 9y4 = -27 + -27y2

Add '4y3' to each side of the equation.
Y6 + -4y3 + 4y3 + 9y4 = -27 + -27y2 + 4y3

Combine like terms: -4y3 + 4y3 = 0
Y6 + 0 + 9y4 = -27 + -27y2 + 4y3
Y6 + 9y4 = -27 + -27y2 + 4y3

Add '-9y4' to each side of the equation.
Y6 + 9y4 + -9y4 = -27 + -27y2 + 4y3 + -9y4

Combine like terms: 9y4 + -9y4 = 0
Y6 + 0 = -27 + -27y2 + 4y3 + -9y4
Y6 = -27 + -27y2 + 4y3 + -9y4

Simplifying
Y6 = -27 + -27y2 + 4y3 + -9y4

Reorder the terms:
27 + Y6 + 27y2 + -4y3 + 9y4 = -27 + -27y2 + 4y3 + -9y4 + 27 + 27y2 + -4y3 + 9y4

Reorder the terms:
27 + Y6 + 27y2 + -4y3 + 9y4 = -27 + 27 + -27y2 + 27y2 + 4y3 + -4y3 + -9y4 + 9y4

Combine like terms: -27 + 27 = 0
27 + Y6 + 27y2 + -4y3 + 9y4 = 0 + -27y2 + 27y2 + 4y3 + -4y3 + -9y4 + 9y4
27 + Y6 + 27y2 + -4y3 + 9y4 = -27y2 + 27y2 + 4y3 + -4y3 + -9y4 + 9y4

Combine like terms: -27y2 + 27y2 = 0
27 + Y6 + 27y2 + -4y3 + 9y4 = 0 + 4y3 + -4y3 + -9y4 + 9y4
27 + Y6 + 27y2 + -4y3 + 9y4 = 4y3 + -4y3 + -9y4 + 9y4

Combine like terms: 4y3 + -4y3 = 0
27 + Y6 + 27y2 + -4y3 + 9y4 = 0 + -9y4 + 9y4
27 + Y6 + 27y2 + -4y3 + 9y4 = -9y4 + 9y4

Combine like terms: -9y4 + 9y4 = 0
27 + Y6 + 27y2 + -4y3 + 9y4 = 0

The solution to this equation could not be determined.

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