1600=10x*x

Solution for 1600=10x*x equation:

1600=10x*x

We move all terms to the left:

1600-(10x*x)=0

We add all the numbers together, and all the variables

-(+10x*x)+1600=0

We get rid of parentheses

-10x*x+1600=0

Wy multiply elements

-10x^2+1600=0

a = -10; b = 0; c = +1600;
Δ = b2-4ac
Δ = 02-4·(-10)·1600
Δ = 64000
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:

$\sqrt{\Delta}=\sqrt{64000}=\sqrt{6400*10}=\sqrt{6400}*\sqrt{10}=80\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-80\sqrt{10}}{2*-10}=\frac{0-80\sqrt{10}}{-20}
=-\frac{80\sqrt{10}}{-20}
=-\frac{4\sqrt{10}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+80\sqrt{10}}{2*-10}=\frac{0+80\sqrt{10}}{-20}
=\frac{80\sqrt{10}}{-20}
=\frac{4\sqrt{10}}{-1}
$