Find the solution set to each equation. Show all work!

a) 3x^2 + 27x=0

b) (x-3) (x+2) (3x-6) = 0

c) x (x-5) + 8 (x-5) = 0

a) is x=0,-9

b) is x=3,±2

c) is x=5,-8

Step-by-step explanation:

a) 3x^2 + 27x=0

1. Factor out the common term 3x

3x (x+9) = 0

2. Solve for x

x=0,-9

Answer is x=0,-9

b) (x-3) (x+2) (3x-6) = 0

1. Ask: When will (x-3) (x+2) (3x-6) equal zero?

When x-3=0, x+2=0 or 3x-6=0

Solve each of the 3 equations above

x=3,±2

Answer: x=3,±2

c) x (x-5) + 8 (x-5) = 0

1. Factor out the common term x-5

(x-5) (x+8) = 0

2. Solve for x

x=5,-8

Answer is x=5,-8