8x*6x=72

Solution for 8x*6x=72 equation:

8x*6x=72

We move all terms to the left:

8x*6x-(72)=0

Wy multiply elements

48x^2-72=0

a = 48; b = 0; c = -72;
Δ = b2-4ac
Δ = 02-4·48·(-72)
Δ = 13824
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:

$\sqrt{\Delta}=\sqrt{13824}=\sqrt{2304*6}=\sqrt{2304}*\sqrt{6}=48\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48\sqrt{6}}{2*48}=\frac{0-48\sqrt{6}}{96}
=-\frac{48\sqrt{6}}{96}
=-\frac{\sqrt{6}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48\sqrt{6}}{2*48}=\frac{0+48\sqrt{6}}{96}
=\frac{48\sqrt{6}}{96}
=\frac{\sqrt{6}}{2}
$