Answer:
x = -1 or x = 8/3
Step-by-step explanation:
3x² - 8 = 5x
3x² - 5x - 8 = 0
3x² - 8x + 3x - 8 = 0
(Here you find two numbers which have a sum of -5 and a product of 3×-8= -24. These two numbers are -8 and 3. -8 + 3 = -5 and -8 × 3 = -24.)
(3x² - 8x) (3x - 8) = 0
x(3x - 8) +1(3x - 8) = 0
(x + 1) (3x - 8) = 0
x + 1 = 0 OR 3x - 8 = 0
x = -1 3x = 8
x = [tex]\frac{8}{3}[/tex]
