(X-8)(x+8)=180

Solution for (X-8)(x+8)=180 equation:

(X-8)(X+8)=180

We move all terms to the left:

(X-8)(X+8)-(180)=0

We use the square of the difference formula

X^2-64-180=0

We add all the numbers together, and all the variables

X^2-244=0

a = 1; b = 0; c = -244;
Δ = b2-4ac
Δ = 02-4·1·(-244)
Δ = 976
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:

$\sqrt{\Delta}=\sqrt{976}=\sqrt{16*61}=\sqrt{16}*\sqrt{61}=4\sqrt{61}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{61}}{2*1}=\frac{0-4\sqrt{61}}{2}
=-\frac{4\sqrt{61}}{2}
=-2\sqrt{61}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{61}}{2*1}=\frac{0+4\sqrt{61}}{2}
=\frac{4\sqrt{61}}{2}
=2\sqrt{61}
$