Explanation:
but then you did already the most work.
because just think : when is the expression
(x+3)(x+2) equal to 0 ?
only, if at least one factor of the multiplication is equal to 0.
you know, for example, 5×0 = 0, or 0×3 = 0.
that means either (x+3) or (x+2) must be 0.
x + 3 = 0
x = -3
and
x + 2 = 0
x = -2
and there you have it.
a quadratic equation (with the highest x exponent is 2) has 2 solutions for being 0.
and this one here has the 2 solutions
x = -3 and
x = -2
again, by finding the factors you did already the biggest and most difficult part yourself. congratulations !