6x*8x=300

Solution for 6x*8x=300 equation:

6x*8x=300

We move all terms to the left:

6x*8x-(300)=0

Wy multiply elements

48x^2-300=0

a = 48; b = 0; c = -300;
Δ = b2-4ac
Δ = 02-4·48·(-300)
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-240}{2*48}=\frac{-240}{96}
=-2+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+240}{2*48}=\frac{240}{96}
=2+1/2
$