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-5)!=0
We move all terms containing z to the left, all other terms to the right
z!=5
z∈R
Domain of the equation: (z-4)!=0
We move all terms containing z to the left, all other terms to the right
z!=4
z∈R
We add all the numbers together, and all the variables
5z/(z-5)+1/(z-4)+1=0
We calculate fractions
(5z^2-20z)/((z-5)*(z-4))+(1*(z-5))/((z-5)*(z-4))+1=0
We calculate terms in parentheses: +(5z^2-20z)/((z-5)*(z-4)), so:
5z^2-20z)/((z-5)*(z-4)
We multiply all the terms by the denominator
5z^2*((z-5)*(z-4)-20z)
Back to the equation:
+(5z^2*((z-5)*(z-4)-20z))
We calculate terms in parentheses: +(1*(z-5))/((z-5)*(z-4)), so:
1*(z-5))/((z-5)*(z-4)
We multiply all the terms by the denominator
1*(z-5))
Back to the equation:
+(1*(z-5)))
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)
We calculate terms in parentheses: +(5z^2*((z-5)*(z-4)-20z)), so:
5z^2*((z-5)*(z-4)-20z)

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