Solve quadratic equation

To solve the quadratic equation $x^2 - 3x + 2 = 0$, you can either factorize or use the quadratic formula. Here is the factorization approach:

1. Factorize $x^2 - 3x + 2$: $$x^2 - 3x + 2 = (x - 1)(x - 2).$$
2. Set each factor equal to zero and solve: $$(x - 1) = 0 \quad \Rightarrow \quad x = 1,$$ $$(x - 2) = 0 \quad \Rightarrow \quad x = 2.$$

Hence, the solutions to the equation are $x = 1$ and $x = 2$.