## anonymous one year ago how do i solve the equation by completing the square for x^2+6x=-8 with steps please

1. IrishBoy123

\(x^2+6x=-8\) first, can you write it as: \("something" \ = 0\)

2. IrishBoy123

where "something" has your various terms in it!

3. anonymous

wait what

4. IrishBoy123

can you make the RHS of your equation equal to zero

5. anonymous

what is that?

6. IrishBoy123

let's say i have : \(x^2+4x=−10\) i can then say that: \(x^2+4x \ + 10=−10 \ + \ 10\) \(x^2+4x + 10 = 0\) then i am good to go can tou do that with your equation?

7. anonymous

okay thanks

8. anonymous

9. IrishBoy123

what 4 ?

10. anonymous

wait 6x i meant

11. IrishBoy123

OK, we can complete the square without fiddling around with your equation so \(x^2+6x=-8\) look only at the L.H.S (left hand side): \(x^2+6x= (x + A)^2 - B\)

12. anonymous

wait is a and b the solution?

13. IrishBoy123

you will need A and B in the solution tracking back, you asked : "how do i solve the equation by completing the square for x^2+6x=-8 with steps please " that is a very reasonable question. do you know how to complete a square?

14. anonymous

no lol i got a 15 percent on my test and can not get it for the life of me

15. IrishBoy123

crumbs :-( what is \((x + 3)^2\) can you evaluate that?

16. anonymous

isit like (x+3) and (x-3)

17. IrishBoy123

crumbs almighty!! am i actually helping you or hindering you?!?! i do wonder !! \((x+3)^2 = (x+3)(x+3) = ....\)

18. anonymous

both sorta

19. IrishBoy123

ok love the directness!! am i now defunct?

20. anonymous

no sorry i was going somewhere

21. IrishBoy123

are we still going ???

22. anonymous

wait so i would add 8 to -8 and it would make it zero?

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