16x^2-16x+13=0

Solution for 16x^2-16x+13=0 equation:

Simplifying
16x2 + -16x + 13 = 0

Reorder the terms:
13 + -16x + 16x2 = 0

Solving
13 + -16x + 16x2 = 0

Solving for variable 'x'.

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

Divide each side by '16'.
0.8125 + -1x + x2 = 0

Move the constant term to the right:

Add '-0.8125' to each side of the equation.
0.8125 + -1x + -0.8125 + x2 = 0 + -0.8125

Reorder the terms:
0.8125 + -0.8125 + -1x + x2 = 0 + -0.8125

Combine like terms: 0.8125 + -0.8125 = 0.0000
0.0000 + -1x + x2 = 0 + -0.8125
-1x + x2 = 0 + -0.8125

Combine like terms: 0 + -0.8125 = -0.8125
-1x + x2 = -0.8125

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 = -0.8125 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -0.8125 + 0.25

Combine like terms: -0.8125 + 0.25 = -0.5625
0.25 + -1x + x2 = -0.5625

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -0.5625

Can't calculate square root of the right side.

The solution to this equation could not be determined.