(x-14)(x+8)=0

Solution for (x-14)(x+8)=0 equation:

(x-14)(x+8)=0

We multiply parentheses ..

(+x^2+8x-14x-112)=0

We get rid of parentheses

x^2+8x-14x-112=0

We add all the numbers together, and all the variables

x^2-6x-112=0

a = 1; b = -6; c = -112;
Δ = b2-4ac
Δ = -62-4·1·(-112)
Δ = 484
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{484}=22$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-22}{2*1}=\frac{-16}{2}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+22}{2*1}=\frac{28}{2}
=14
$