5(2w-1)w=94

Solution for 5(2w-1)w=94 equation:

5(2w-1)w=94

We move all terms to the left:

5(2w-1)w-(94)=0

We multiply parentheses

10w^2-5w-94=0

a = 10; b = -5; c = -94;
Δ = b2-4ac
Δ = -52-4·10·(-94)
Δ = 3785
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-\sqrt{3785}}{2*10}=\frac{5-\sqrt{3785}}{20}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{3785}}{2*10}=\frac{5+\sqrt{3785}}{20}
$