Solve the equation:

(x - 4) (x - 3) = 0

Show your work and check your work.

Step-by-step explanation:

The given equation is

(x - 4) (x - 3) = 0

We would open the parenthesis by multiplying each term in the first parenthesis by each term in the second parentheses. It becomes

x^2 - 3x - 4x + 12 = 0

x^2 - 7x + 12

We would apply the method of factorization by looking for two numbers such that, when they are added or subtracted, the result would be - 7x and when they are multiplied, the result would be 12x^2. The two numbers are - 3x and - 4x. Therefore

x^2 - 3x - 4x + 12 = 0

x (x - 3) - 4 (x - 3) = 0

(x - 3) (x - 4) = 0

x - 3 = 0 or x - 4 = 0

x = 3 or x = 4

So let us check

if x = 3,

(3 - 4) (3 - 3) = 0

- 1*0 = 0

If x = 4

(4 - 4) (4 - 3) = 0

0*1 = 0