X*0,5x+14*0,5x=35500

Solution for X*0,5x+14*0,5x=35500 equation:

X*0.5X+14*0.5X=35500

We move all terms to the left:

X*0.5X+14*0.5X-(35500)=0

Wy multiply elements

0X^2+0X-35500=0

We add all the numbers together, and all the variables

X^2+X-35500=0

a = 1; b = 1; c = -35500;
Δ = b2-4ac
Δ = 12-4·1·(-35500)
Δ = 142001
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{142001}}{2*1}=\frac{-1-\sqrt{142001}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{142001}}{2*1}=\frac{-1+\sqrt{142001}}{2}
$