Question

How do you solve `x^2 + 5x + 6 = 0` algebraically?

Answer 1

`x = -3` OR `x = -2`

Explanation:

We have: `x^2 +5x+6=0`

Step 1: Factor
Since we have already set the quadratic equal to 0, we can just factor.
`(x+3)(x+2) = 0`

Step 2: Set each factor equal to 0
`x+3 = 0` OR `x+2 = 0`
`x = -3` OR `x = -2`