2x(4x+30)=360

Solution for 2x(4x+30)=360 equation:

2x(4x+30)=360

We move all terms to the left:

2x(4x+30)-(360)=0

We multiply parentheses

8x^2+60x-360=0

a = 8; b = 60; c = -360;
Δ = b2-4ac
Δ = 602-4·8·(-360)
Δ = 15120
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:

$\sqrt{\Delta}=\sqrt{15120}=\sqrt{144*105}=\sqrt{144}*\sqrt{105}=12\sqrt{105}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(60)-12\sqrt{105}}{2*8}=\frac{-60-12\sqrt{105}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(60)+12\sqrt{105}}{2*8}=\frac{-60+12\sqrt{105}}{16}
$