(12x^2+44x)/(3x-11)=4

Solution for (12x^2+44x)/(3x-11)=4 equation:

(12x^2+44x)/(3x-11)=4

We move all terms to the left:

(12x^2+44x)/(3x-11)-(4)=0


Domain of the equation: (3x-11)!=0

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


We multiply all the terms by the denominator


(12x^2+44x)-4*(3x-11)=0

We multiply parentheses

(12x^2+44x)-12x+44=0

We get rid of parentheses

12x^2+44x-12x+44=0

We add all the numbers together, and all the variables

12x^2+32x+44=0

a = 12; b = 32; c = +44;
Δ = b2-4ac
Δ = 322-4·12·44
Δ = -1088
Delta is less than zero, so there is no solution for the equation