Factor x2 plus 5x plus 6 equals 0?

Answer 1

You don't factor an equation. You factor an expression.

So we'll forget about the "equals 0" for a second, while we factor "x2 plus 5x plus 6".

x2 + 5x + 6 = (x + 3) (x + 2).

Now, if you want this expression to be equal to zero, that can only happen when 'x' is -2 or -3.

Answer 2

(x + 2)(x + 3)