12x^2-2x+3=0

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Solution for 12x^2-2x+3=0 equation:


Simplifying
12x2 + -2x + 3 = 0

Reorder the terms:
3 + -2x + 12x2 = 0

Solving
3 + -2x + 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'.
0.25 + -0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.1666666667x + -0.25 + x2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.1666666667x + x2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.1666666667x + x2 = 0 + -0.25
-0.1666666667x + x2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
-0.1666666667x + x2 = -0.25

The x term is -0.1666666667x.  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.
-0.1666666667x + 0.006944444447 + x2 = -0.25 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667x + x2 = -0.25 + 0.006944444447

Combine like terms: -0.25 + 0.006944444447 = -0.243055555553
0.006944444447 + -0.1666666667x + x2 = -0.243055555553

Factor a perfect square on the left side:
(x + -0.08333333335)(x + -0.08333333335) = -0.243055555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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