-6x^2-2x-1=0

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Solution for -6x^2-2x-1=0 equation: 


Simplifying
-6x2 + -2x + -1 = 0

Reorder the terms:
-1 + -2x + -6x2 = 0

Solving
-1 + -2x + -6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(1 + 2x + 6x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(1 + 2x + 6x2)' equal to zero and attempt to solve:

Simplifying
1 + 2x + 6x2 = 0

Solving
1 + 2x + 6x2 = 0

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

Divide each side by '6'.
0.1666666667 + 0.3333333333x + x2 = 0

Move the constant term to the right:

Add '-0.1666666667' to each side of the equation.
0.1666666667 + 0.3333333333x + -0.1666666667 + x2 = 0 + -0.1666666667

Reorder the terms:
0.1666666667 + -0.1666666667 + 0.3333333333x + x2 = 0 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + 0.3333333333x + x2 = 0 + -0.1666666667
0.3333333333x + x2 = 0 + -0.1666666667

Combine like terms: 0 + -0.1666666667 = -0.1666666667
0.3333333333x + x2 = -0.1666666667

The x term is 0.3333333333x.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333x + 0.02777777779 + x2 = -0.1666666667 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333x + x2 = -0.1666666667 + 0.02777777779

Combine like terms: -0.1666666667 + 0.02777777779 = -0.13888888891
0.02777777779 + 0.3333333333x + x2 = -0.13888888891

Factor a perfect square on the left side:
(x + 0.1666666667)(x + 0.1666666667) = -0.13888888891

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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