2x*3x=5000000

Solution for 2x*3x=5000000 equation:

2x*3x=5000000

We move all terms to the left:

2x*3x-(5000000)=0

Wy multiply elements

6x^2-5000000=0

a = 6; b = 0; c = -5000000;
Δ = b2-4ac
Δ = 02-4·6·(-5000000)
Δ = 120000000
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:

$\sqrt{\Delta}=\sqrt{120000000}=\sqrt{4000000*30}=\sqrt{4000000}*\sqrt{30}=2000\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2000\sqrt{30}}{2*6}=\frac{0-2000\sqrt{30}}{12}
=-\frac{2000\sqrt{30}}{12}
=-\frac{500\sqrt{30}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2000\sqrt{30}}{2*6}=\frac{0+2000\sqrt{30}}{12}
=\frac{2000\sqrt{30}}{12}
=\frac{500\sqrt{30}}{3}
$