4x*3x=5000000

Solution for 4x*3x=5000000 equation:

4x*3x=5000000

We move all terms to the left:

4x*3x-(5000000)=0

Wy multiply elements

12x^2-5000000=0

a = 12; b = 0; c = -5000000;
Δ = b2-4ac
Δ = 02-4·12·(-5000000)
Δ = 240000000
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:

$\sqrt{\Delta}=\sqrt{240000000}=\sqrt{16000000*15}=\sqrt{16000000}*\sqrt{15}=4000\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4000\sqrt{15}}{2*12}=\frac{0-4000\sqrt{15}}{24}
=-\frac{4000\sqrt{15}}{24}
=-\frac{500\sqrt{15}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4000\sqrt{15}}{2*12}=\frac{0+4000\sqrt{15}}{24}
=\frac{4000\sqrt{15}}{24}
=\frac{500\sqrt{15}}{3}
$