x=2x^2/800

Solution for x=2x^2/800 equation:

x=2x^2/800

We move all terms to the left:

x-(2x^2/800)=0

We get rid of parentheses

-2x^2/800+x=0

We multiply all the terms by the denominator


-2x^2+x*800=0

Wy multiply elements

-2x^2+800x=0

a = -2; b = 800; c = 0;
Δ = b2-4ac
Δ = 8002-4·(-2)·0
Δ = 640000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{640000}=800$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(800)-800}{2*-2}=\frac{-1600}{-4}
=+400
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(800)+800}{2*-2}=\frac{0}{-4}
=0
$