9x*16x=300000

Solution for 9x*16x=300000 equation:

9x*16x=300000

We move all terms to the left:

9x*16x-(300000)=0

Wy multiply elements

144x^2-300000=0

a = 144; b = 0; c = -300000;
Δ = b2-4ac
Δ = 02-4·144·(-300000)
Δ = 172800000
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:

$\sqrt{\Delta}=\sqrt{172800000}=\sqrt{5760000*30}=\sqrt{5760000}*\sqrt{30}=2400\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2400\sqrt{30}}{2*144}=\frac{0-2400\sqrt{30}}{288}
=-\frac{2400\sqrt{30}}{288}
=-\frac{25\sqrt{30}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2400\sqrt{30}}{2*144}=\frac{0+2400\sqrt{30}}{288}
=\frac{2400\sqrt{30}}{288}
=\frac{25\sqrt{30}}{3}
$