500x(x-2)50=700

Solution for 500x(x-2)50=700 equation:

500x(x-2)50=700

We move all terms to the left:

500x(x-2)50-(700)=0

We multiply parentheses

25000x^2-50000x-700=0

a = 25000; b = -50000; c = -700;
Δ = b2-4ac
Δ = -500002-4·25000·(-700)
Δ = 2570000000
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:

$\sqrt{\Delta}=\sqrt{2570000000}=\sqrt{1000000*2570}=\sqrt{1000000}*\sqrt{2570}=1000\sqrt{2570}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50000)-1000\sqrt{2570}}{2*25000}=\frac{50000-1000\sqrt{2570}}{50000}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50000)+1000\sqrt{2570}}{2*25000}=\frac{50000+1000\sqrt{2570}}{50000}
$