(X)(x-160)=8000

Solution for (X)(x-160)=8000 equation:

(X)(X-160)=8000

We move all terms to the left:

(X)(X-160)-(8000)=0

We multiply parentheses

X^2-160X-8000=0

a = 1; b = -160; c = -8000;
Δ = b2-4ac
Δ = -1602-4·1·(-8000)
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-160)-240}{2*1}=\frac{-80}{2}
=-40
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-160)+240}{2*1}=\frac{400}{2}
=200
$