(x+14)(x-14)=180

Solution for (x+14)(x-14)=180 equation:

(x+14)(x-14)=180

We move all terms to the left:

(x+14)(x-14)-(180)=0

We use the square of the difference formula

x^2-196-180=0

We add all the numbers together, and all the variables

x^2-376=0

a = 1; b = 0; c = -376;
Δ = b2-4ac
Δ = 02-4·1·(-376)
Δ = 1504
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:

$\sqrt{\Delta}=\sqrt{1504}=\sqrt{16*94}=\sqrt{16}*\sqrt{94}=4\sqrt{94}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{94}}{2*1}=\frac{0-4\sqrt{94}}{2}
=-\frac{4\sqrt{94}}{2}
=-2\sqrt{94}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{94}}{2*1}=\frac{0+4\sqrt{94}}{2}
=\frac{4\sqrt{94}}{2}
=2\sqrt{94}
$