24*2x*3x=1296

Solution for 24*2x*3x=1296 equation:

24*2x*3x=1296

We move all terms to the left:

24*2x*3x-(1296)=0

Wy multiply elements

144x^2*3-1296=0

Wy multiply elements

432x^2-1296=0

a = 432; b = 0; c = -1296;
Δ = b2-4ac
Δ = 02-4·432·(-1296)
Δ = 2239488
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:

$\sqrt{\Delta}=\sqrt{2239488}=\sqrt{746496*3}=\sqrt{746496}*\sqrt{3}=864\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-864\sqrt{3}}{2*432}=\frac{0-864\sqrt{3}}{864}
=-\frac{864\sqrt{3}}{864}
=-\sqrt{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+864\sqrt{3}}{2*432}=\frac{0+864\sqrt{3}}{864}
=\frac{864\sqrt{3}}{864}
=\sqrt{3}
$