x=12x^2+6

Solution for x=12x^2+6 equation:

Simplifying
x = 12x2 + 6

Reorder the terms:
x = 6 + 12x2

Solving
x = 6 + 12x2

Solving for variable 'x'.

Reorder the terms:
-6 + x + -12x2 = 6 + 12x2 + -6 + -12x2

Reorder the terms:
-6 + x + -12x2 = 6 + -6 + 12x2 + -12x2

Combine like terms: 6 + -6 = 0
-6 + x + -12x2 = 0 + 12x2 + -12x2
-6 + x + -12x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-6 + x + -12x2 = 0

Begin completing the square.  Divide all terms by
-12 the coefficient of the squared term: 

Divide each side by '-12'.
0.5 + -0.08333333333x + x2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.08333333333x + -0.5 + x2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.08333333333x + x2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.08333333333x + x2 = 0 + -0.5
-0.08333333333x + x2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.08333333333x + x2 = -0.5

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.08333333333x + 0.25 + x2 = -0.5 + 0.25

Reorder the terms:
0.25 + -0.08333333333x + x2 = -0.5 + 0.25

Combine like terms: -0.5 + 0.25 = -0.25
0.25 + -0.08333333333x + x2 = -0.25

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.