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

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

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

We move all terms to the left:

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

We multiply parentheses

176x^2+1320x-360=0

a = 176; b = 1320; c = -360;
Δ = b2-4ac
Δ = 13202-4·176·(-360)
Δ = 1995840
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:

$\sqrt{\Delta}=\sqrt{1995840}=\sqrt{5184*385}=\sqrt{5184}*\sqrt{385}=72\sqrt{385}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1320)-72\sqrt{385}}{2*176}=\frac{-1320-72\sqrt{385}}{352}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1320)+72\sqrt{385}}{2*176}=\frac{-1320+72\sqrt{385}}{352}
$