Question

How do you factor `x^2+8=-6x`?

Answer 1

(x+4)(x+2)=0

Explanation:

1. Move the -6x over to the left side.
   You have: x^2 + 6x + 8

2. Our leading factor is one, so we don't need any extra steps.
   Thus, we need to two factors that multiplies to 8 and adds 6.

3. If you think about it, 4+2 = 6 and 4 * 2 = 8, so we can pick out 4 and 2.

4. The factored form of this equation is (x+4) (x+2) = 0

NOTE: Practice some more of these things since they will be handy for finding x-intercepts in the future. You can also check this answer and verify using your calculator and putting into slope-intercept form.

Hope this helped!