13x^2-7x+3=0

Solution for 13x^2-7x+3=0 equation:

Simplifying
13x2 + -7x + 3 = 0

Reorder the terms:
3 + -7x + 13x2 = 0

Solving
3 + -7x + 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'.
0.2307692308 + -0.5384615385x + x2 = 0

Move the constant term to the right:

Add '-0.2307692308' to each side of the equation.
0.2307692308 + -0.5384615385x + -0.2307692308 + x2 = 0 + -0.2307692308

Reorder the terms:
0.2307692308 + -0.2307692308 + -0.5384615385x + x2 = 0 + -0.2307692308

Combine like terms: 0.2307692308 + -0.2307692308 = 0.0000000000
0.0000000000 + -0.5384615385x + x2 = 0 + -0.2307692308
-0.5384615385x + x2 = 0 + -0.2307692308

Combine like terms: 0 + -0.2307692308 = -0.2307692308
-0.5384615385x + x2 = -0.2307692308

The x term is -0.5384615385x.  Take half its coefficient (-0.2692307693).
Square it (0.07248520714) and add it to both sides.

Add '0.07248520714' to each side of the equation.
-0.5384615385x + 0.07248520714 + x2 = -0.2307692308 + 0.07248520714

Reorder the terms:
0.07248520714 + -0.5384615385x + x2 = -0.2307692308 + 0.07248520714

Combine like terms: -0.2307692308 + 0.07248520714 = -0.15828402366
0.07248520714 + -0.5384615385x + x2 = -0.15828402366

Factor a perfect square on the left side:
(x + -0.2692307693)(x + -0.2692307693) = -0.15828402366

Can't calculate square root of the right side.

The solution to this equation could not be determined.