6/(b+9)=4/(b+5)

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Solution for 6/(b+9)=4/(b+5) equation: 



6/(b+9)=4/(b+5)

We move all terms to the left:

6/(b+9)-(4/(b+5))=0



Domain of the equation: (b+9)!=0

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

b!=-9

b∈R





Domain of the equation: (b+5))!=0

b∈R



We calculate fractions


6b/((b+9)*(b+5)))+(-(4*(b+9))/((b+9)*(b+5)))=0



We calculate terms in parentheses: -(4*(b+9))/((b+9)*(b+5))), so:

4*(b+9))/((b+9)*(b+5))

We multiply all the terms by the denominator


4*(b+9))

We multiply parentheses

4b+

We add all the numbers together, and all the variables

4b

Back to the equation:

-(4b)



We add all the numbers together, and all the variables

-4b+6b/((b+9)*(b+5)))+(=0

We multiply all the terms by the denominator


-4b*((b+9)*(b+5)))+(+6b=0

We add all the numbers together, and all the variables

6b-4b*((b+9)*(b+5)))+(=0

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