4x^2-1/(2x-1)=7

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Solution for 4x^2-1/(2x-1)=7 equation: 



4x^2-1/(2x-1)=7

We move all terms to the left:

4x^2-1/(2x-1)-(7)=0



Domain of the equation: (2x-1)!=0

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

2x!=1

x!=1/2

x!=1/2

x∈R



We multiply all the terms by the denominator


4x^2*(2x-1)-7*(2x-1)-1=0

We multiply parentheses

4x^2*(2x-1)-14x+7-1=0

We add all the numbers together, and all the variables

4x^2*(2x-1)-14x+6=0

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

4x^2*(2x-1)-14x=-6

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