360=35x*35x

Solution for 360=35x*35x equation:

360=35x*35x

We move all terms to the left:

360-(35x*35x)=0

We add all the numbers together, and all the variables

-(+35x*35x)+360=0

We get rid of parentheses

-35x*35x+360=0

Wy multiply elements

-1225x^2+360=0

a = -1225; b = 0; c = +360;
Δ = b2-4ac
Δ = 02-4·(-1225)·360
Δ = 1764000
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:

$\sqrt{\Delta}=\sqrt{1764000}=\sqrt{176400*10}=\sqrt{176400}*\sqrt{10}=420\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-420\sqrt{10}}{2*-1225}=\frac{0-420\sqrt{10}}{-2450}
=-\frac{420\sqrt{10}}{-2450}
=-\frac{6\sqrt{10}}{-35}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+420\sqrt{10}}{2*-1225}=\frac{0+420\sqrt{10}}{-2450}
=\frac{420\sqrt{10}}{-2450}
=\frac{6\sqrt{10}}{-35}
$