(3x)(8x+4)=180

Solution for (3x)(8x+4)=180 equation:

(3x)(8x+4)=180

We move all terms to the left:

(3x)(8x+4)-(180)=0

We multiply parentheses

24x^2+12x-180=0

a = 24; b = 12; c = -180;
Δ = b2-4ac
Δ = 122-4·24·(-180)
Δ = 17424
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{17424}=132$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-132}{2*24}=\frac{-144}{48}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+132}{2*24}=\frac{120}{48}
=2+1/2
$