205=35x^2

Solution for 205=35x^2 equation:

205=35x^2

We move all terms to the left:

205-(35x^2)=0

a = -35; b = 0; c = +205;
Δ = b2-4ac
Δ = 02-4·(-35)·205
Δ = 28700
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:

$\sqrt{\Delta}=\sqrt{28700}=\sqrt{100*287}=\sqrt{100}*\sqrt{287}=10\sqrt{287}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{287}}{2*-35}=\frac{0-10\sqrt{287}}{-70}
=-\frac{10\sqrt{287}}{-70}
=-\frac{\sqrt{287}}{-7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{287}}{2*-35}=\frac{0+10\sqrt{287}}{-70}
=\frac{10\sqrt{287}}{-70}
=\frac{\sqrt{287}}{-7}
$