Explanation:
what do we need to do ? find the 0 solutions for x ?
if that is the case, let's just do all the multiplication first :
(3/2)² × (2/3)⁴x² = x
9/4 × 16/81 x² = x
4/9 x² = x
4/9 x² - x = 0
4x² - 9x = 0
x × (4x - 9) = 0
so, one solution is obviously x = 0.
the second solution is
4x - 9 = 0
4x = 9
x = 9/4