How do you factor #x^2+14x=-49#?
Here's how I factored it:
To factor this, we first have to make one side equal to zero. We do this by adding
This is a perfect square trinomial:
We know that:
#14 = 2 xx 1 xx 7# #49 = 7 xx 7#
Therefore, the expression
To check our answer, let's see if
And when we combine this we get:
We can still combine like terms (
Therefore, we know that
Hope this helps!