32x*3x=1296

Solution for 32x*3x=1296 equation:

32x*3x=1296

We move all terms to the left:

32x*3x-(1296)=0

Wy multiply elements

96x^2-1296=0

a = 96; b = 0; c = -1296;
Δ = b2-4ac
Δ = 02-4·96·(-1296)
Δ = 497664
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:

$\sqrt{\Delta}=\sqrt{497664}=\sqrt{82944*6}=\sqrt{82944}*\sqrt{6}=288\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-288\sqrt{6}}{2*96}=\frac{0-288\sqrt{6}}{192}
=-\frac{288\sqrt{6}}{192}
=-\frac{3\sqrt{6}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+288\sqrt{6}}{2*96}=\frac{0+288\sqrt{6}}{192}
=\frac{288\sqrt{6}}{192}
=\frac{3\sqrt{6}}{2}
$