2x(x+30)=360

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

2x(x+30)=360

We move all terms to the left:

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

We multiply parentheses

2x^2+60x-360=0

a = 2; b = 60; c = -360;
Δ = b2-4ac
Δ = 602-4·2·(-360)
Δ = 6480
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:

$\sqrt{\Delta}=\sqrt{6480}=\sqrt{1296*5}=\sqrt{1296}*\sqrt{5}=36\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-36\sqrt{5}}{2*2}=\frac{-60-36\sqrt{5}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+36\sqrt{5}}{2*2}=\frac{-60+36\sqrt{5}}{4}
$