(2x+36)4x=180

Solution for (2x+36)4x=180 equation:

(2x+36)4x=180

We move all terms to the left:

(2x+36)4x-(180)=0

We multiply parentheses

8x^2+144x-180=0

a = 8; b = 144; c = -180;
Δ = b2-4ac
Δ = 1442-4·8·(-180)
Δ = 26496
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:

$\sqrt{\Delta}=\sqrt{26496}=\sqrt{576*46}=\sqrt{576}*\sqrt{46}=24\sqrt{46}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(144)-24\sqrt{46}}{2*8}=\frac{-144-24\sqrt{46}}{16}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(144)+24\sqrt{46}}{2*8}=\frac{-144+24\sqrt{46}}{16}
$