2w^2-16w=12w

Solution for 2w^2-16w=12w equation:

2w^2-16w=12w

We move all terms to the left:

2w^2-16w-(12w)=0

We add all the numbers together, and all the variables

2w^2-28w=0

a = 2; b = -28; c = 0;
Δ = b2-4ac
Δ = -282-4·2·0
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-28)-28}{2*2}=\frac{0}{4}
=0
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-28)+28}{2*2}=\frac{56}{4}
=14
$