6/(k-1)=8/(k-6)

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Solution for 6/(k-1)=8/(k-6) equation: 



6/(k-1)=8/(k-6)

We move all terms to the left:

6/(k-1)-(8/(k-6))=0



Domain of the equation: (k-1)!=0

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

k!=1

k∈R





Domain of the equation: (k-6))!=0

k∈R



We calculate fractions


6k/((k-1)*(k-6)))+(-(8*(k-1))/((k-1)*(k-6)))=0



We calculate terms in parentheses: -(8*(k-1))/((k-1)*(k-6))), so:

8*(k-1))/((k-1)*(k-6))

We multiply all the terms by the denominator


8*(k-1))

We multiply parentheses

8k+

We add all the numbers together, and all the variables

8k

Back to the equation:

-(8k)



We add all the numbers together, and all the variables

-8k+6k/((k-1)*(k-6)))+(=0

We multiply all the terms by the denominator


-8k*((k-1)*(k-6)))+(+6k=0

We add all the numbers together, and all the variables

6k-8k*((k-1)*(k-6)))+(=0

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