5z/z-5+1/z-4=-1

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Solution for 5z/z-5+1/z-4=-1 equation: 



5z/z-5+1/z-4=-1

We move all terms to the left:

5z/z-5+1/z-4-(-1)=0



Domain of the equation: z!=0

z∈R



We add all the numbers together, and all the variables

5z/z+1/z-8=0

We multiply all the terms by the denominator


5z-8*z+1=0

We add all the numbers together, and all the variables

-3z+1=0

We move all terms containing z to the left, all other terms to the right

-3z=-1

z=-1/-3

z=1/3

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