16x*9x=60

Solution for 16x*9x=60 equation:

16x*9x=60

We move all terms to the left:

16x*9x-(60)=0

Wy multiply elements

144x^2-60=0

a = 144; b = 0; c = -60;
Δ = b2-4ac
Δ = 02-4·144·(-60)
Δ = 34560
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:

$\sqrt{\Delta}=\sqrt{34560}=\sqrt{2304*15}=\sqrt{2304}*\sqrt{15}=48\sqrt{15}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{15}}{2*144}=\frac{0-48\sqrt{15}}{288}
=-\frac{48\sqrt{15}}{288}
=-\frac{\sqrt{15}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{15}}{2*144}=\frac{0+48\sqrt{15}}{288}
=\frac{48\sqrt{15}}{288}
=\frac{\sqrt{15}}{6}
$