z/(z+15)=4/9

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Solution for z/(z+15)=4/9 equation: 



z/(z+15)=4/9

We move all terms to the left:

z/(z+15)-(4/9)=0



Domain of the equation: (z+15)!=0

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

z!=-15

z∈R



We add all the numbers together, and all the variables

z/(z+15)-(+4/9)=0

We get rid of parentheses

z/(z+15)-4/9=0

We calculate fractions


9z/(9z+135)+(-4z-60)/(9z+135)=0

We multiply all the terms by the denominator


9z+(-4z-60)=0

We get rid of parentheses

9z-4z-60=0

We add all the numbers together, and all the variables

5z-60=0

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

5z=60

z=60/5

z=12

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