SOLUTION: Solve additional equation.. 1.(-2m-2)/(3)+(2m-3)/(6)=(m)/(8) 2.(1)/(x)-(2)/(x+1)=(3)/(6x) 3.(9)/(7x-6)=(6)/(2-5x) 4.(3)/((x+1)^2)=-2 ...

Algebra ->  Equations -> SOLUTION: Solve additional equation.. 1.(-2m-2)/(3)+(2m-3)/(6)=(m)/(8) 2.(1)/(x)-(2)/(x+1)=(3)/(6x) 3.(9)/(7x-6)=(6)/(2-5x) 4.(3)/((x+1)^2)=-2 ...      Log On


   

Question 1039967: Solve additional equation..
1.(-2m-2)/(3)+(2m-3)/(6)=(m)/(8)
2.(1)/(x)-(2)/(x+1)=(3)/(6x)
3.(9)/(7x-6)=(6)/(2-5x)
4.(3)/((x+1)^2)=-2
...
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
%283%29%2F%28%28x%2B1%29%5E2%29=-2

You need to accept i%5E2=-1, for the imaginary unit, i.

3%2F%28x%2B1%29%5E2=-2
%283%2F%28x%2B1%29%5E2%29%28x%2B1%29%5E2=-2%28x%2B1%29%5E2
3=-2%28x%2B1%29%5E2
%28x%2B1%29%5E2=-%283%2F2%29
x%2B1=0%2B-+sqrt%28-3%2F2%29
x=-1%2B-+sqrt%28-3%2F2%29
highlight%28x=-1%2B-+i%2Asqrt%283%2F2%29%29

You can rationalize the denominator if you want.
x=-1%2B-+i%2Asqrt%283%29%28sqrt%282%29%29%2F2
highlight%28x=-1%2B-+i%281%2F2%29sqrt%286%29%29