Answer
x=5/4
Work Step by Step
Original Equation
$\frac{4x^{2} - 24x}{3x^{2} - x - 2}$ + $\frac{3}{3x+2}$ = $\frac{-4}{x-1}$
Multiply equation by the LCD, (3x+2)(x-1) to get rid of denominators
4$x^{2}$-24x + 3(x-1) = -4(3x+2)
Distribute
4$x^{2}$-24x + 3x - 3 = -12x-8
Adjust equation to equal 0
4$x^{2}$-9x+5=0
Factor
(4x-5)(x-1)=0
x=5/4, x=1
However, x cannot equal 1 because it would set the denominator equal to 0, so the solution is x=5/4.
