+129839 Let (4x - 16) / (3x - 4) = p
So we have
p^2 + p = 12
p^2 + p - 12 = 0 factor
(p +4) (p - 3) = 0 so p = -4 or p =3
If p = -4, we have
(4x - 16) / (3x - 4) = -4
4(x - 4) / (3x - 4) = -4
(x - 4) / (3x - 4) = -1
x - 4 = 4 - 3x
4x = 8
x = 2
If x = 3, we have
(4x - 16) / (3x - 4) = 3
4x - 16 = 3(3x- 4)
4x - 16 = 9x - 12
- 4= 5x
x = -4/5
So......x = 2 is the largest value of x that solves the equation
