2048=2x*x

Solution for 2048=2x*x equation:

2048=2x*x

We move all terms to the left:

2048-(2x*x)=0

We add all the numbers together, and all the variables

-(+2x*x)+2048=0

We get rid of parentheses

-2x*x+2048=0

Wy multiply elements

-2x^2+2048=0

a = -2; b = 0; c = +2048;
Δ = b2-4ac
Δ = 02-4·(-2)·2048
Δ = 16384
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16384}=128$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-128}{2*-2}=\frac{-128}{-4}
=+32
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+128}{2*-2}=\frac{128}{-4}
=-32
$