4x(4x+15+39)=180

Solution for 4x(4x+15+39)=180 equation:

4x(4x+15+39)=180

We move all terms to the left:

4x(4x+15+39)-(180)=0

We add all the numbers together, and all the variables

4x(4x+54)-180=0

We multiply parentheses

16x^2+216x-180=0

a = 16; b = 216; c = -180;
Δ = b2-4ac
Δ = 2162-4·16·(-180)
Δ = 58176
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:

$\sqrt{\Delta}=\sqrt{58176}=\sqrt{576*101}=\sqrt{576}*\sqrt{101}=24\sqrt{101}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(216)-24\sqrt{101}}{2*16}=\frac{-216-24\sqrt{101}}{32}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(216)+24\sqrt{101}}{2*16}=\frac{-216+24\sqrt{101}}{32}
$