16x*9x=480000

Solution for 16x*9x=480000 equation:

16x*9x=480000

We move all terms to the left:

16x*9x-(480000)=0

Wy multiply elements

144x^2-480000=0

a = 144; b = 0; c = -480000;
Δ = b2-4ac
Δ = 02-4·144·(-480000)
Δ = 276480000
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:

$\sqrt{\Delta}=\sqrt{276480000}=\sqrt{92160000*3}=\sqrt{92160000}*\sqrt{3}=9600\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-9600\sqrt{3}}{2*144}=\frac{0-9600\sqrt{3}}{288}
=-\frac{9600\sqrt{3}}{288}
=-\frac{100\sqrt{3}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+9600\sqrt{3}}{2*144}=\frac{0+9600\sqrt{3}}{288}
=\frac{9600\sqrt{3}}{288}
=\frac{100\sqrt{3}}{3}
$