(4w+10)*2w=250

Solution for (4w+10)*2w=250 equation:

(4w+10)*2w=250

We move all terms to the left:

(4w+10)*2w-(250)=0

We multiply parentheses

8w^2+20w-250=0

a = 8; b = 20; c = -250;
Δ = b2-4ac
Δ = 202-4·8·(-250)
Δ = 8400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{8400}=\sqrt{400*21}=\sqrt{400}*\sqrt{21}=20\sqrt{21}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-20\sqrt{21}}{2*8}=\frac{-20-20\sqrt{21}}{16}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+20\sqrt{21}}{2*8}=\frac{-20+20\sqrt{21}}{16}
$