6x^2-7x+6=0

Solution for 6x^2-7x+6=0 equation:

Simplifying
6x2 + -7x + 6 = 0

Reorder the terms:
6 + -7x + 6x2 = 0

Solving
6 + -7x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
1 + -1.166666667x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.166666667x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -1.166666667x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.166666667x + x2 = 0 + -1
-1.166666667x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.166666667x + x2 = -1

The x term is -1.166666667x.  Take half its coefficient (-0.5833333335).
Square it (0.3402777780) and add it to both sides.

Add '0.3402777780' to each side of the equation.
-1.166666667x + 0.3402777780 + x2 = -1 + 0.3402777780

Reorder the terms:
0.3402777780 + -1.166666667x + x2 = -1 + 0.3402777780

Combine like terms: -1 + 0.3402777780 = -0.659722222
0.3402777780 + -1.166666667x + x2 = -0.659722222

Factor a perfect square on the left side:
(x + -0.5833333335)(x + -0.5833333335) = -0.659722222

Can't calculate square root of the right side.

The solution to this equation could not be determined.