3x*2x=2133333

Solution for 3x*2x=2133333 equation:

3x*2x=2133333

We move all terms to the left:

3x*2x-(2133333)=0

Wy multiply elements

6x^2-2133333=0

a = 6; b = 0; c = -2133333;
Δ = b2-4ac
Δ = 02-4·6·(-2133333)
Δ = 51199992
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:

$\sqrt{\Delta}=\sqrt{51199992}=\sqrt{36*1422222}=\sqrt{36}*\sqrt{1422222}=6\sqrt{1422222}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{1422222}}{2*6}=\frac{0-6\sqrt{1422222}}{12}
=-\frac{6\sqrt{1422222}}{12}
=-\frac{\sqrt{1422222}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{1422222}}{2*6}=\frac{0+6\sqrt{1422222}}{12}
=\frac{6\sqrt{1422222}}{12}
=\frac{\sqrt{1422222}}{2}
$