ALGEBRA 1 HW< please help to give explanations

See below

Step-by-step explanation:

a)

11x^2 + x^2 = (4x + 8)(3x - 3)12x^2 = 12x^2 + 24x - 12x - 2412x - 24 = 012x = 24x = 2

b)

x/3 - x/9 = 63x/9 - x/9 = 62x/9 = 62x = 54x = 27

c)

6^(x + 9) = 36^x6^(x + 9) = 6^(2x)x + 9 = 2x 2x - x = 9x = 9

d)

4/9 + 1/a = 2/31/a = 2/3 - 4/91/a = 6/9 - 4/91/a = 2/9a = 9/2

e)

√x + 3 = 6x + 3 = 6^2x = 36 - 3x = 33

f)

1.2m - 0.2 = 3.8 + m

1.2m - m = 3.8 + 0.20.2m = 4m = 4/0.2m = 20

g)

(x + 12)^2 = 9x + 12 = ± 3x = ± 3 - 12x = - 9, x = - 15