8w+2w^2=960

Solution for 8w+2w^2=960 equation:

8w+2w^2=960

We move all terms to the left:

8w+2w^2-(960)=0

a = 2; b = 8; c = -960;
Δ = b2-4ac
Δ = 82-4·2·(-960)
Δ = 7744
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{7744}=88$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-88}{2*2}=\frac{-96}{4}
=-24
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+88}{2*2}=\frac{80}{4}
=20
$