(6y^2-21y-291)/(y^2-4y-45)=6

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Solution for (6y^2-21y-291)/(y^2-4y-45)=6 equation: 



(6y^2-21y-291)/(y^2-4y-45)=6

We move all terms to the left:

(6y^2-21y-291)/(y^2-4y-45)-(6)=0



Domain of the equation: (y^2-4y-45)!=0

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

y^2-4y!=45

y∈R



We multiply all the terms by the denominator


(6y^2-21y-291)-6*(y^2-4y-45)=0

We multiply parentheses

-6y^2+(6y^2-21y-291)+24y+270=0

We get rid of parentheses

-6y^2+6y^2-21y+24y-291+270=0

We add all the numbers together, and all the variables

3y-21=0

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

3y=21

y=21/3

y=7

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