Solve the polynomial equation.

2x^3 - 13x^2 + 32x - 13 = 0

2x^3-x^2-12x^2+6x+26x-13=0

x^2(2x-1)-6x(2x-1)+13(2x-1)=0
(2x-1)(x2-6x+13)
(2x-1)(3±2i)=0

Taking the first equation (2x-1),

2x=1
x=1/2

(x2-6x+13) cannot be factorized so x=1/2 is the answer.