8w*6w=208

Solution for 8w*6w=208 equation:

8w*6w=208

We move all terms to the left:

8w*6w-(208)=0

Wy multiply elements

48w^2-208=0

a = 48; b = 0; c = -208;
Δ = b2-4ac
Δ = 02-4·48·(-208)
Δ = 39936
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{39936}=\sqrt{1024*39}=\sqrt{1024}*\sqrt{39}=32\sqrt{39}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-32\sqrt{39}}{2*48}=\frac{0-32\sqrt{39}}{96}
=-\frac{32\sqrt{39}}{96}
=-\frac{\sqrt{39}}{3}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+32\sqrt{39}}{2*48}=\frac{0+32\sqrt{39}}{96}
=\frac{32\sqrt{39}}{96}
=\frac{\sqrt{39}}{3}
$