Find the roots of the equation: x2 - 5x + 6 = 0

Step 1: Factor the quadratic equation.
We need two numbers that multiply to $-6$ and add to $-5$.
These are $-6$ and $1$.

$x^2 - 5x - 6 = (x - 6)(x + 1) = 0$

Step 2: Set each factor equal to zero and solve.

$x - 6 = 0 \quad \Rightarrow \quad x = 6$

$x + 1 = 0 \quad \Rightarrow \quad x = -1$

x = 6,\ -1