3x(2x+30)=360

Solution for 3x(2x+30)=360 equation:

3x(2x+30)=360

We move all terms to the left:

3x(2x+30)-(360)=0

We multiply parentheses

6x^2+90x-360=0

a = 6; b = 90; c = -360;
Δ = b2-4ac
Δ = 902-4·6·(-360)
Δ = 16740
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{16740}=\sqrt{36*465}=\sqrt{36}*\sqrt{465}=6\sqrt{465}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(90)-6\sqrt{465}}{2*6}=\frac{-90-6\sqrt{465}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(90)+6\sqrt{465}}{2*6}=\frac{-90+6\sqrt{465}}{12}
$