Question

(5x+5)/(x^2+8x+15)=0

Answer 1

i started factoring and got 5(x+1)/(x+5)(x+3)=0 but im not sure what to do after....so i just take the denominator and try to figure it out from there?

Answer 2

Do you have to find restrictions and/or solve for x?

Answer 3

solve for x

Answer 4

Alright. You would have the right approach if you were simplifying. However, here, just solve for x regularly.
\[\frac{5x + 5}{x^2 + 8x + 15} = 0 \implies 5x + 5 = 0 \times (x^2 + 8x = 15) \implies 5x + 5 = 0\]Can you solve from there?

Answer 5

im not sure if i understand what you did

Answer 6

Alright. You have x in both the denominator and numerator. Therefore, you multiply both sides by what's in the denominator so that you can solve for x.

Answer 7

Since 0 times anything is 0, that cancels out.

Answer 8

right

Answer 9

so now you just solve for x here:
5x + 5 = 0

Answer 10

super easy! i get it

Answer 11

Good :)

Answer 12

thanks!

Answer 13

np :D

Answer 14

how would you do it if its like this

Answer 15

(x-7)/5 + 1/5 = -x/10