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

1 Answer
Mar 27, 2016

Answer:

(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!