3200=100x*2x

Solution for 3200=100x*2x equation:

3200=100x*2x

We move all terms to the left:

3200-(100x*2x)=0

We add all the numbers together, and all the variables

-(+100x*2x)+3200=0

We get rid of parentheses

-100x*2x+3200=0

Wy multiply elements

-200x^2+3200=0

a = -200; b = 0; c = +3200;
Δ = b2-4ac
Δ = 02-4·(-200)·3200
Δ = 2560000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2560000}=1600$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1600}{2*-200}=\frac{-1600}{-400}
=+4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1600}{2*-200}=\frac{1600}{-400}
=-4
$