4x*12x=120

Solution for 4x*12x=120 equation:

4x*12x=120

We move all terms to the left:

4x*12x-(120)=0

Wy multiply elements

48x^2-120=0

a = 48; b = 0; c = -120;
Δ = b2-4ac
Δ = 02-4·48·(-120)
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*48}=\frac{0-48\sqrt{10}}{96}
=-\frac{48\sqrt{10}}{96}
=-\frac{\sqrt{10}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{10}}{2*48}=\frac{0+48\sqrt{10}}{96}
=\frac{48\sqrt{10}}{96}
=\frac{\sqrt{10}}{2}
$