12x^2-2x+8=0

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Solution for 12x^2-2x+8=0 equation: 


Simplifying
12x2 + -2x + 8 = 0

Reorder the terms:
8 + -2x + 12x2 = 0

Solving
8 + -2x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + -1x + 6x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + -1x + 6x2)' equal to zero and attempt to solve:

Simplifying
4 + -1x + 6x2 = 0

Solving
4 + -1x + 6x2 = 0

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

Divide each side by '6'.
0.6666666667 + -0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.1666666667x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.1666666667x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.1666666667x + x2 = 0 + -0.6666666667
-0.1666666667x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.1666666667x + x2 = -0.6666666667

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 = -0.6666666667 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667x + x2 = -0.6666666667 + 0.006944444447

Combine like terms: -0.6666666667 + 0.006944444447 = -0.659722222253
0.006944444447 + -0.1666666667x + x2 = -0.659722222253

Factor a perfect square on the left side:
(x + -0.08333333335)(x + -0.08333333335) = -0.659722222253

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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