5w2-16w=16

Solution for 5w2-16w=16 equation:

5w^2-16w=16

We move all terms to the left:

5w^2-16w-(16)=0

a = 5; b = -16; c = -16;
Δ = b2-4ac
Δ = -162-4·5·(-16)
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-24}{2*5}=\frac{-8}{10}
=-4/5
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+24}{2*5}=\frac{40}{10}
=4
$