8w(w-6)=2w

Solution for 8w(w-6)=2w equation:

8w(w-6)=2w

We move all terms to the left:

8w(w-6)-(2w)=0

We add all the numbers together, and all the variables

-2w+8w(w-6)=0

We multiply parentheses

8w^2-2w-48w=0

We add all the numbers together, and all the variables

8w^2-50w=0

a = 8; b = -50; c = 0;
Δ = b2-4ac
Δ = -502-4·8·0
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-50}{2*8}=\frac{0}{16}
=0
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+50}{2*8}=\frac{100}{16}
=6+1/4
$