46000=x*2x

Solution for 46000=x*2x equation:

46000=x*2x

We move all terms to the left:

46000-(x*2x)=0

We add all the numbers together, and all the variables

-(+x*2x)+46000=0

We get rid of parentheses

-x*2x+46000=0

Wy multiply elements

-2x^2+46000=0

a = -2; b = 0; c = +46000;
Δ = b2-4ac
Δ = 02-4·(-2)·46000
Δ = 368000
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:

$\sqrt{\Delta}=\sqrt{368000}=\sqrt{1600*230}=\sqrt{1600}*\sqrt{230}=40\sqrt{230}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-40\sqrt{230}}{2*-2}=\frac{0-40\sqrt{230}}{-4}
=-\frac{40\sqrt{230}}{-4}
=-\frac{10\sqrt{230}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+40\sqrt{230}}{2*-2}=\frac{0+40\sqrt{230}}{-4}
=\frac{40\sqrt{230}}{-4}
=\frac{10\sqrt{230}}{-1}
$