16x*9x=54

Solution for 16x*9x=54 equation:

16x*9x=54

We move all terms to the left:

16x*9x-(54)=0

Wy multiply elements

144x^2-54=0

a = 144; b = 0; c = -54;
Δ = b2-4ac
Δ = 02-4·144·(-54)
Δ = 31104
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:

$\sqrt{\Delta}=\sqrt{31104}=\sqrt{5184*6}=\sqrt{5184}*\sqrt{6}=72\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72\sqrt{6}}{2*144}=\frac{0-72\sqrt{6}}{288}
=-\frac{72\sqrt{6}}{288}
=-\frac{\sqrt{6}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72\sqrt{6}}{2*144}=\frac{0+72\sqrt{6}}{288}
=\frac{72\sqrt{6}}{288}
=\frac{\sqrt{6}}{4}
$