36x^6+6x^3+1=0

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Solution for 36x^6+6x^3+1=0 equation: 


Simplifying
36x6 + 6x3 + 1 = 0

Reorder the terms:
1 + 6x3 + 36x6 = 0

Solving
1 + 6x3 + 36x6 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
36 the coefficient of the squared term: 

Divide each side by '36'.
0.02777777778 + 0.1666666667x3 + x6 = 0

Move the constant term to the right:

Add '-0.02777777778' to each side of the equation.
0.02777777778 + 0.1666666667x3 + -0.02777777778 + x6 = 0 + -0.02777777778

Reorder the terms:
0.02777777778 + -0.02777777778 + 0.1666666667x3 + x6 = 0 + -0.02777777778

Combine like terms: 0.02777777778 + -0.02777777778 = 0.00000000000
0.00000000000 + 0.1666666667x3 + x6 = 0 + -0.02777777778
0.1666666667x3 + x6 = 0 + -0.02777777778

Combine like terms: 0 + -0.02777777778 = -0.02777777778
0.1666666667x3 + x6 = -0.02777777778

The x term is 0.1666666667x3.  Take half its coefficient (0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
0.1666666667x3 + 0.006944444447 + x6 = -0.02777777778 + 0.006944444447

Reorder the terms:
0.006944444447 + 0.1666666667x3 + x6 = -0.02777777778 + 0.006944444447

Combine like terms: -0.02777777778 + 0.006944444447 = -0.020833333333
0.006944444447 + 0.1666666667x3 + x6 = -0.020833333333

Factor a perfect square on the left side:
(x3 + 0.08333333335)(x3 + 0.08333333335) = -0.020833333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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