w(4w-7)=795

Solution for w(4w-7)=795 equation:

w(4w-7)=795

We move all terms to the left:

w(4w-7)-(795)=0

We multiply parentheses

4w^2-7w-795=0

a = 4; b = -7; c = -795;
Δ = b2-4ac
Δ = -72-4·4·(-795)
Δ = 12769
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{12769}=113$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-113}{2*4}=\frac{-106}{8}
=-13+1/4
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+113}{2*4}=\frac{120}{8}
=15
$