2x(6x+16.8)=180

Solution for 2x(6x+16.8)=180 equation:

2x(6x+16.8)=180

We move all terms to the left:

2x(6x+16.8)-(180)=0

We multiply parentheses

12x^2+33.6x-180=0

a = 12; b = 33.6; c = -180;
Δ = b2-4ac
Δ = 33.62-4·12·(-180)
Δ = 9768.96
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(33.6)-\sqrt{9768.96}}{2*12}=\frac{-33.6-\sqrt{9768.96}}{24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33.6)+\sqrt{9768.96}}{2*12}=\frac{-33.6+\sqrt{9768.96}}{24}
$