**Question 1.**

Solution:

Question 2.

Solution:

**Question 3.Solution:**

**Question 4.Solve the following equations.Solution:**

This equation is true for x = 0

∴ x = 0 is one of the solutions.

If x ≠ 0, then x

^{2}≠ 0

∴ 8x + 12 = 12x – 20

∴ 12 + 20 = 12x – 8x

∴ 32 = 4x

∴ x = 8

∴ x = 0 or x = 8 are the solutions of the given equation.

∴ 21(x – 5) = 4(2x + 3)

∴ 21x – 105 = 8x + 12

∴ 21x – 8x = 12 + 105

∴ 13x = 117

∴ x = 9

∴ x = 9 ¡s the solution of the given equation.

∴ 9(4x + 1) = 25(x + 3)

∴36x + 925x + 75

∴ 36x – 25 = 75 – 9

∴11x = 66

∴ x = 6

∴ x = 6 is the solution of the given equation.

∴ 4(3x – 4) = 5(x + 1)

∴ 12x – 16 = 5x + 5

∴ 12x – 5x = 5 + 16

∴ 7x = 21

∴ x = 3

∴ x = 3 ¡s the solution of the given equation.