X*(x-2)*100/2=2400

Solution for X*(x-2)*100/2=2400 equation:

X(X-2)*100/2=2400

We move all terms to the left:

X(X-2)*100/2-(2400)=0

We multiply all the terms by the denominator


X(X-2)*100-2400*2=0

We add all the numbers together, and all the variables

X(X-2)*100-4800=0

We multiply parentheses

100X^2-200X-4800=0

a = 100; b = -200; c = -4800;
Δ = b2-4ac
Δ = -2002-4·100·(-4800)
Δ = 1960000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1960000}=1400$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-200)-1400}{2*100}=\frac{-1200}{200}
=-6
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-200)+1400}{2*100}=\frac{1600}{200}
=8
$