25=100x^2

Solution for 25=100x^2 equation:

25=100x^2

We move all terms to the left:

25-(100x^2)=0

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

$\sqrt{\Delta}=\sqrt{10000}=100$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100}{2*-100}=\frac{-100}{-200}
=1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100}{2*-100}=\frac{100}{-200}
=-1/2
$