3x*4x=480000

Solution for 3x*4x=480000 equation:

3x*4x=480000

We move all terms to the left:

3x*4x-(480000)=0

Wy multiply elements

12x^2-480000=0

a = 12; b = 0; c = -480000;
Δ = b2-4ac
Δ = 02-4·12·(-480000)
Δ = 23040000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{23040000}=4800$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4800}{2*12}=\frac{-4800}{24}
=-200
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4800}{2*12}=\frac{4800}{24}
=200
$