200.000=350*10*x

Solution for 200.000=350*10*x equation:

200.000=350*10*x

We move all terms to the left:

200.000-(350*10*x)=0

We add all the numbers together, and all the variables

-(+350*10*x)+200.000=0

We add all the numbers together, and all the variables

-(+350*10*x)+200=0

We get rid of parentheses

-350*10*x+200=0

Wy multiply elements

-3500x*x+200=0

Wy multiply elements

-3500x^2+200=0

a = -3500; b = 0; c = +200;
Δ = b2-4ac
Δ = 02-4·(-3500)·200
Δ = 2800000
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:

$\sqrt{\Delta}=\sqrt{2800000}=\sqrt{40000*70}=\sqrt{40000}*\sqrt{70}=200\sqrt{70}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-200\sqrt{70}}{2*-3500}=\frac{0-200\sqrt{70}}{-7000}
=-\frac{200\sqrt{70}}{-7000}
=-\frac{\sqrt{70}}{-35}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+200\sqrt{70}}{2*-3500}=\frac{0+200\sqrt{70}}{-7000}
=\frac{200\sqrt{70}}{-7000}
=\frac{\sqrt{70}}{-35}
$