24x*36x=4320

Solution for 24x*36x=4320 equation:

24x*36x=4320

We move all terms to the left:

24x*36x-(4320)=0

Wy multiply elements

864x^2-4320=0

a = 864; b = 0; c = -4320;
Δ = b2-4ac
Δ = 02-4·864·(-4320)
Δ = 14929920
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:

$\sqrt{\Delta}=\sqrt{14929920}=\sqrt{2985984*5}=\sqrt{2985984}*\sqrt{5}=1728\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-1728\sqrt{5}}{2*864}=\frac{0-1728\sqrt{5}}{1728}
=-\frac{1728\sqrt{5}}{1728}
=-\sqrt{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+1728\sqrt{5}}{2*864}=\frac{0+1728\sqrt{5}}{1728}
=\frac{1728\sqrt{5}}{1728}
=\sqrt{5}
$