x(x+3)=(8x+9)(3x+4)

Solution for x(x+3)=(8x+9)(3x+4) equation:

x(x+3)=(8x+9)(3x+4)

We move all terms to the left:

x(x+3)-((8x+9)(3x+4))=0

We multiply parentheses

x^2+3x-((8x+9)(3x+4))=0

We multiply parentheses ..

x^2-((+24x^2+32x+27x+36))+3x=0


We calculate terms in parentheses: -((+24x^2+32x+27x+36)), so:

(+24x^2+32x+27x+36)

We get rid of parentheses

24x^2+32x+27x+36

We add all the numbers together, and all the variables

24x^2+59x+36

Back to the equation:

-(24x^2+59x+36)


We add all the numbers together, and all the variables

x^2+3x-(24x^2+59x+36)=0

We get rid of parentheses

x^2-24x^2+3x-59x-36=0

We add all the numbers together, and all the variables

-23x^2-56x-36=0

a = -23; b = -56; c = -36;
Δ = b2-4ac
Δ = -562-4·(-23)·(-36)
Δ = -176
Delta is less than zero, so there is no solution for the equation