w2+39w=0

Solution for w2+39w=0 equation:

w2+39w=0

We add all the numbers together, and all the variables

w^2+39w=0

a = 1; b = 39; c = 0;
Δ = b2-4ac
Δ = 392-4·1·0
Δ = 1521
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1521}=39$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(39)-39}{2*1}=\frac{-78}{2}
=-39
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(39)+39}{2*1}=\frac{0}{2}
=0
$