37w^2+2w-960=0

Solution for 37w^2+2w-960=0 equation:

37w^2+2w-960=0

a = 37; b = 2; c = -960;
Δ = b2-4ac
Δ = 22-4·37·(-960)
Δ = 142084
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:

$\sqrt{\Delta}=\sqrt{142084}=\sqrt{4*35521}=\sqrt{4}*\sqrt{35521}=2\sqrt{35521}$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{35521}}{2*37}=\frac{-2-2\sqrt{35521}}{74}
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{35521}}{2*37}=\frac{-2+2\sqrt{35521}}{74}
$