480=4x*3x

Solution for 480=4x*3x equation:

480=4x*3x

We move all terms to the left:

480-(4x*3x)=0

We add all the numbers together, and all the variables

-(+4x*3x)+480=0

We get rid of parentheses

-4x*3x+480=0

Wy multiply elements

-12x^2+480=0

a = -12; b = 0; c = +480;
Δ = b2-4ac
Δ = 02-4·(-12)·480
Δ = 23040
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:

$\sqrt{\Delta}=\sqrt{23040}=\sqrt{2304*10}=\sqrt{2304}*\sqrt{10}=48\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{10}}{2*-12}=\frac{0-48\sqrt{10}}{-24}
=-\frac{48\sqrt{10}}{-24}
=-\frac{2\sqrt{10}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{10}}{2*-12}=\frac{0+48\sqrt{10}}{-24}
=\frac{48\sqrt{10}}{-24}
=\frac{2\sqrt{10}}{-1}
$