Solve x² − 5x + 6 = 0. Show each step and box the roots.

The two numbers are -2 and -3, because:
$(-2) \times (-3) = 6$
$(-2) + (-3) = -5$

$x^2 - 2x - 3x + 6 = 0$

$(x^2 - 2x) - (3x - 6) = 0$
$x(x - 2) - 3(x - 2) = 0$

$(x - 2)(x - 3) = 0$

$x - 2 = 0$
$x = 2$

$x - 3 = 0$
$x = 3$

The roots of the equation are:
$x = \boxed{2}$
$x = \boxed{3}$