2x*x*24=72000

Solution for 2x*x*24=72000 equation:

2x*x*24=72000

We move all terms to the left:

2x*x*24-(72000)=0

Wy multiply elements

48x^2*2-72000=0

Wy multiply elements

96x^2-72000=0

a = 96; b = 0; c = -72000;
Δ = b2-4ac
Δ = 02-4·96·(-72000)
Δ = 27648000
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:

$\sqrt{\Delta}=\sqrt{27648000}=\sqrt{921600*30}=\sqrt{921600}*\sqrt{30}=960\sqrt{30}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-960\sqrt{30}}{2*96}=\frac{0-960\sqrt{30}}{192}
=-\frac{960\sqrt{30}}{192}
=-5\sqrt{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+960\sqrt{30}}{2*96}=\frac{0+960\sqrt{30}}{192}
=\frac{960\sqrt{30}}{192}
=5\sqrt{30}
$