solve by middle term factorisation
5x²-32x+48=0

5x2 - 32x + 48 = 0
5x2 - 20x - 12x + 48 = 0
5x(x - 4) - 12(x - 4) = 0
(5x - 12) (x - 4) = 0
x = 12/5 and x = 4.