z/(z-7.5)=12.5/10

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Solution for z/(z-7.5)=12.5/10 equation: 



z/(z-7.5)=12.5/10

We move all terms to the left:

z/(z-7.5)-(12.5/10)=0



Domain of the equation: (z-7.5)!=0

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

z!=7.5

z∈R



We add all the numbers together, and all the variables

z/(z-7.5)-(+12.5/10)=0

We get rid of parentheses

z/(z-7.5)-12.5/10=0

We calculate fractions


10z/(10z-75)+(-12.5z+93.75)/(10z-75)=0

We multiply all the terms by the denominator


10z+(-12.5z+93.75)=0

We get rid of parentheses

10z-12.5z+93.75=0

We add all the numbers together, and all the variables

-2.5z+93.75=0

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

-2.5z=-93.75

z=-93.75/-2.5

z=37+1/2

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