Distribute the 5x to both the 4x and the 3 to get
20x^2+15x=24
Move the 24 over to get
20x^2+15x-24=0
This can't be factored so we must use the quadratic formula, (-b+-sqrt(b^2-4ac))/(2a)
Plug in to get
(-(15)+-sqrt((15)^2-4(20)(-24)))/(2(20)) => (-15+-sqrt(225+1920))/40 => -3/8+-sqrt(2145)/40
Final answer:
X=-3/8+sqrt(2145)/40 or x=-3/8-sqrt(2145)/40
Ugly problem. Hope I could help :)
