Question 1031718

Solve the equation by using the LCD.
I don't know how to do this one, it look confusing 

(5) / (x^2+x-6) = (2) + (x-3) / (x-2)
<pre>{{{5/(x^2 + x - 6) = 2 + (x - 3)/(x - 2)}}}
{{{5/((x - 2)(x + 3)) = 2 + (x - 3)/(x - 2)}}} ------- Factoring 1<sup>st</sup>-fraction denominator: {{{x^2 + x - 6}}}
5 = 2(x - 2)(x + 3) + (x - 3)(x + 3) ------ Multiplying by LCD, (x - 2)(x + 3)
{{{5 = 2(x^2 + x - 6) + x^2 - 9}}}
{{{5 = 2x^2 + 2x - 12 + x^2 - 9}}}
{{{5 = 2x^2 + x^2 + 2x - 12 - 9}}} 
{{{0 = 3x^2 + 2x - 26}}}
Using the quadratic equation formula, or completing the square should result in: {{{highlight_green(matrix(1,5, x = (- 1 +- sqrt(79))/3, "<------>", 2.6293981, or, - 3.2961))}}}