please help me solve rational equations if you know pre calculus?

Question

how to solve s/s+2+s=5s+8/s+2

Answer 1

Start by combining like terms:
4s+(8-s)/(s+2)=0
Then Multiply by s+2
-4s^2+32s+8-s=0
-4s^2+31s+8=0
Use the Q.F.
s= [-31 +/- sqrt(31^2+128)]/-8
s= (31 -/+ 33)/8
s= -1/4 or 8

Answer 2

s/s+2+s=5s+8/s+2
1 + 2 +s = 5s + 8/s + 2
1 = 4s + 8/s
4s -1 + 8/s = 0
4s^2 - s + 8 = 0
That equation has no real solutions. Were you asked to solve over the complex numbers or possible could you have missed a set of parentheses?
Possibly:
s/(s+2)+s=5s+8/s+2

Answer 3

let's start by simplifying
s/s+2+s=5s+8/s+2
becomes
1+2+s=5s+8/s+2
1=5s+8/s-s
1=4s+8/s
1=4s/s+8/s
1=4+8/s
-3=8/s
-3s=8
s=8/-3

hope this helps!