(2x+8)/(2x^2+21x+61)=-3

Solution for (2x+8)/(2x^2+21x+61)=-3 equation:

(2x+8)/(2x^2+21x+61)=-3

We move all terms to the left:

(2x+8)/(2x^2+21x+61)-(-3)=0


Domain of the equation: (2x^2+21x+61)!=0

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

2x^2+21x!=-61

x∈R


We add all the numbers together, and all the variables

(2x+8)/(2x^2+21x+61)+3=0

We multiply all the terms by the denominator


(2x+8)+3*(2x^2+21x+61)=0

We multiply parentheses

6x^2+(2x+8)+63x+183=0

We get rid of parentheses

6x^2+2x+63x+8+183=0

We add all the numbers together, and all the variables

6x^2+65x+191=0

a = 6; b = 65; c = +191;
Δ = b2-4ac
Δ = 652-4·6·191
Δ = -359
Delta is less than zero, so there is no solution for the equation