Question

How do you solve `(a+1)(a+2) = 0` by factoring?

Answer 1

The solutions are
`color(blue)(a=-1,a=-2`

Explanation:

`(a+1)(a+2)=0` is already the factorised form of the equation
`a^2+3a+2`

Since we have the factorised form we simply equate the factors to the number on the R.H.S and obtain the solutions.

`(a+1)(a+2)=0`

Solution 1:
`a+1=0, color(blue)(a=-1`

Solution 2
`a+2=0, color(blue)(a=-2`