(X-6)(x+8)=168

Solution for (X-6)(x+8)=168 equation:

(X-6)(X+8)=168

We move all terms to the left:

(X-6)(X+8)-(168)=0

We multiply parentheses ..

(+X^2+8X-6X-48)-168=0

We get rid of parentheses

X^2+8X-6X-48-168=0

We add all the numbers together, and all the variables

X^2+2X-216=0

a = 1; b = 2; c = -216;
Δ = b2-4ac
Δ = 22-4·1·(-216)
Δ = 868
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:

$\sqrt{\Delta}=\sqrt{868}=\sqrt{4*217}=\sqrt{4}*\sqrt{217}=2\sqrt{217}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{217}}{2*1}=\frac{-2-2\sqrt{217}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{217}}{2*1}=\frac{-2+2\sqrt{217}}{2}
$