Solve the following equations.

Given:

We first put x = 0 in the expression and obtain:

⇒ 10/9 = 61/36 which does not hold true.

∴ x=0 is not a solution.

Consider the given equation:

Apply dividendo:

Take square root on both sides:

Case 1:

Cross multiply and obtain:

24x + 6 = 10x + 15

⇒ 14x = 9

⇒ x = 9/14

Case 2:

Cross multiply and obtain:

24x + 6 = -10x - 15

⇒ 34x = -21

⇒ x = -21/34

∴ x = 9/14 and x = -21/34 are the solutions.