Question 639932
To solve, first expand the left side of the equal sign:

(x - 3)(x - 2) = {{{x^2 - 5x + 6 = 14}}}

Next, subtract 14 from both sides of the equation:

{{{x^2 - 5x + 6 - 14 = 14 - 14}}}

This gives us

{{{x^2 - 5x - 8 = 0}}}

We unfortunately cannot factor this quadratic equation, so from this point, we could try completing the square or using the quadratic formula.  Let's use the quadratic formula:

{{{x = (-(-5)+-sqrt(-5^2-4*1*(-8)))/(2*1)}}}, which reduces down to

{{{x = (5+-sqrt(25+32))/2}}} = {{{x = 5+-sqrt(57)/2}}}

FINAL ANSWER: {{{x = (5+sqrt(57))/2}}} AND {{{x = (5-sqrt(57))/2}}}