(2x+6)(2x-6)=180

Solution for (2x+6)(2x-6)=180 equation:

(2x+6)(2x-6)=180

We move all terms to the left:

(2x+6)(2x-6)-(180)=0

We use the square of the difference formula

4x^2-36-180=0

We add all the numbers together, and all the variables

4x^2-216=0

a = 4; b = 0; c = -216;
Δ = b2-4ac
Δ = 02-4·4·(-216)
Δ = 3456
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:

$\sqrt{\Delta}=\sqrt{3456}=\sqrt{576*6}=\sqrt{576}*\sqrt{6}=24\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{6}}{2*4}=\frac{0-24\sqrt{6}}{8}
=-\frac{24\sqrt{6}}{8}
=-3\sqrt{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{6}}{2*4}=\frac{0+24\sqrt{6}}{8}
=\frac{24\sqrt{6}}{8}
=3\sqrt{6}
$