Given:

taking LCM; using (a + b)² = a² + b² + 2ab

47x² + 162x - 33 = 385x² - 176x - 33 cross multiplying

338x² - 338x = 0

338x(x - 1) = 0 taking 338x common

338x = 0 or (x - 1) = 0

x = 1 or x = 0

Hence the roots of equation are 1, 0