8b^3+b^6+20=0

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Solution for 8b^3+b^6+20=0 equation: 


Simplifying
8b3 + b6 + 20 = 0

Reorder the terms:
20 + 8b3 + b6 = 0

Solving
20 + 8b3 + b6 = 0

Solving for variable 'b'.

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + 8b3 + -20 + b6 = 0 + -20

Reorder the terms:
20 + -20 + 8b3 + b6 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 8b3 + b6 = 0 + -20
8b3 + b6 = 0 + -20

Combine like terms: 0 + -20 = -20
8b3 + b6 = -20

The b term is 8b3.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8b3 + 16 + b6 = -20 + 16

Reorder the terms:
16 + 8b3 + b6 = -20 + 16

Combine like terms: -20 + 16 = -4
16 + 8b3 + b6 = -4

Factor a perfect square on the left side:
(b3 + 4)(b3 + 4) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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