12000000=3x*2x

Solution for 12000000=3x*2x equation:

12000000=3x*2x

We move all terms to the left:

12000000-(3x*2x)=0

We add all the numbers together, and all the variables

-(+3x*2x)+12000000=0

We get rid of parentheses

-3x*2x+12000000=0

Wy multiply elements

-6x^2+12000000=0

a = -6; b = 0; c = +12000000;
Δ = b2-4ac
Δ = 02-4·(-6)·12000000
Δ = 288000000
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:

$\sqrt{\Delta}=\sqrt{288000000}=\sqrt{144000000*2}=\sqrt{144000000}*\sqrt{2}=12000\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12000\sqrt{2}}{2*-6}=\frac{0-12000\sqrt{2}}{-12}
=-\frac{12000\sqrt{2}}{-12}
=-\frac{1000\sqrt{2}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12000\sqrt{2}}{2*-6}=\frac{0+12000\sqrt{2}}{-12}
=\frac{12000\sqrt{2}}{-12}
=\frac{1000\sqrt{2}}{-1}
$