12x^2-x+6=0

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Solution for 12x^2-x+6=0 equation:


Simplifying
12x2 + -1x + 6 = 0

Reorder the terms:
6 + -1x + 12x2 = 0

Solving
6 + -1x + 12x2 = 0

Solving for variable 'x'.

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 -0.08333333333x.  Take half its coefficient (-0.04166666667).
Square it (0.001736111111) and add it to both sides.

Add '0.001736111111' to each side of the equation.
-0.08333333333x + 0.001736111111 + x2 = -0.5 + 0.001736111111

Reorder the terms:
0.001736111111 + -0.08333333333x + x2 = -0.5 + 0.001736111111

Combine like terms: -0.5 + 0.001736111111 = -0.498263888889
0.001736111111 + -0.08333333333x + x2 = -0.498263888889

Factor a perfect square on the left side:
(x + -0.04166666667)(x + -0.04166666667) = -0.498263888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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