Given:

taking LCM

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

19x² - 42x - 15 = 30x² + 35x - 15 cross multiplying

11 x² + 77x = 0

11x(x + 7) = 0 taking 11x common

11x = 0 or (x + 7) = 0

x = 0 or x = - 7

Hence the roots of equation are 0, - 7