How to solve this equation involving radicals.

8x (x - 6) 1/2 + 4 (x - 6) 3/2 = 0

8x (x - 6) 1/2 + 4 (x - 6) 3/2 = 0

8x (x) - 8x (6) 1/2 + 4 (x) - 4 (6) 3/2 = 0

8x² - 48x (1/2) + 4x - 24 (3/2) = 0

8x² - 24x + 4x - 36 = 0

8x² - 20x - 36 = 0

x = - (-20) + / - √ ((-20²) - 4 (8) (-36))

2 (8)

x = 20 + / - √ (400 + 1152)

16

x = 20 + / - √1552

16

x = 20 + / - √ (16 * 97)

16

x = 20 + / - √16 √97

16

x = 20 + / - 4 √97

16

x = 20 + / - 4 (9.848857802)

16

x = 20 + / - 39.39543121

16

x = 20 + 39.39543121 x = 20 - 39.39543121

16 16

x = 59.39543121 x = - 19.39543121

16 16

x = 3.71221445 x = - 1.212214451