5x^2-8x+13=0

Solution for 5x^2-8x+13=0 equation:

Simplifying
5x2 + -8x + 13 = 0

Reorder the terms:
13 + -8x + 5x2 = 0

Solving
13 + -8x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
2.6 + -1.6x + x2 = 0

Move the constant term to the right:

Add '-2.6' to each side of the equation.
2.6 + -1.6x + -2.6 + x2 = 0 + -2.6

Reorder the terms:
2.6 + -2.6 + -1.6x + x2 = 0 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + -1.6x + x2 = 0 + -2.6
-1.6x + x2 = 0 + -2.6

Combine like terms: 0 + -2.6 = -2.6
-1.6x + x2 = -2.6

The x term is -1.6x.  Take half its coefficient (-0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
-1.6x + 0.64 + x2 = -2.6 + 0.64

Reorder the terms:
0.64 + -1.6x + x2 = -2.6 + 0.64

Combine like terms: -2.6 + 0.64 = -1.96
0.64 + -1.6x + x2 = -1.96

Factor a perfect square on the left side:
(x + -0.8)(x + -0.8) = -1.96

Can't calculate square root of the right side.

The solution to this equation could not be determined.