(X-14)(x-22)=0

Solution for (X-14)(x-22)=0 equation:

(X-14)(X-22)=0

We multiply parentheses ..

(+X^2-22X-14X+308)=0

We get rid of parentheses

X^2-22X-14X+308=0

We add all the numbers together, and all the variables

X^2-36X+308=0

a = 1; b = -36; c = +308;
Δ = b2-4ac
Δ = -362-4·1·308
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-8}{2*1}=\frac{28}{2}
=14
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+8}{2*1}=\frac{44}{2}
=22
$