100=25w^2

Solution for 100=25w^2 equation:

100=25w^2

We move all terms to the left:

100-(25w^2)=0

a = -25; b = 0; c = +100;
Δ = b2-4ac
Δ = 02-4·(-25)·100
Δ = 10000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{10000}=100$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100}{2*-25}=\frac{-100}{-50}
=+2
$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100}{2*-25}=\frac{100}{-50}
=-2
$