13x^2-24x+13=0

Solution for 13x^2-24x+13=0 equation:

Simplifying
13x2 + -24x + 13 = 0

Reorder the terms:
13 + -24x + 13x2 = 0

Solving
13 + -24x + 13x2 = 0

Solving for variable 'x'.

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

Divide each side by '13'.
1 + -1.846153846x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.846153846x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -1.846153846x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.846153846x + x2 = 0 + -1
-1.846153846x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.846153846x + x2 = -1

The x term is -1.846153846x.  Take half its coefficient (-0.923076923).
Square it (0.8520710058) and add it to both sides.

Add '0.8520710058' to each side of the equation.
-1.846153846x + 0.8520710058 + x2 = -1 + 0.8520710058

Reorder the terms:
0.8520710058 + -1.846153846x + x2 = -1 + 0.8520710058

Combine like terms: -1 + 0.8520710058 = -0.1479289942
0.8520710058 + -1.846153846x + x2 = -0.1479289942

Factor a perfect square on the left side:
(x + -0.923076923)(x + -0.923076923) = -0.1479289942

Can't calculate square root of the right side.

The solution to this equation could not be determined.