7x^2-7x+2=0

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

Simplifying
7x2 + -7x + 2 = 0

Reorder the terms:
2 + -7x + 7x2 = 0

Solving
2 + -7x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
0.2857142857 + -1x + x2 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + -1x + -0.2857142857 + x2 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + -1x + x2 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + -1x + x2 = 0 + -0.2857142857
-1x + x2 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
-1x + x2 = -0.2857142857

The x term is -1x.  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.
-1x + 0.25 + x2 = -0.2857142857 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -0.2857142857 + 0.25

Combine like terms: -0.2857142857 + 0.25 = -0.0357142857
0.25 + -1x + x2 = -0.0357142857

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -0.0357142857

Can't calculate square root of the right side.

The solution to this equation could not be determined.