Question 8192
{{{x^2 - 7x + 12 = 6}}}  Subtract 6 from both sides.

{{{x^2 - 7x + 6 = 0}}} Solve by factoring.

{{{(x - 1)(x - 6) = 0}}} Apply the zero product principle.

{{{x - 1 = 0}}} or {{{x - 6 = 0}}}

If {{{x - 1 = 0}}}, then {{{x = 1}}} or
If {{{x - 6 = 0}}}, then, {{{x = 6}}}

The roots (or zeros) are: x = 1 or x = 6