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(12x^2+44x)/(3x-11)=4x
We move all terms to the left:
(12x^2+44x)/(3x-11)-(4x)=0
Domain of the equation: (3x-11)!=0We add all the numbers together, and all the variables
We move all terms containing x to the left, all other terms to the right
3x!=11
x!=11/3
x!=3+2/3
x∈R
-4x+(12x^2+44x)/(3x-11)=0
We multiply all the terms by the denominator
-4x*(3x-11)+(12x^2+44x)=0
We multiply parentheses
-12x^2+44x+(12x^2+44x)=0
We get rid of parentheses
-12x^2+12x^2+44x+44x=0
We add all the numbers together, and all the variables
88x=0
x=0/88
x=0
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