0.25g^2=2g

Solution for 0.25g^2=2g equation:

0.25g^2=2g

We move all terms to the left:

0.25g^2-(2g)=0

a = 0.25; b = -2; c = 0;
Δ = b2-4ac
Δ = -22-4·0.25·0
Δ = 4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4}=2$
$g_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-2}{2*0.25}=\frac{0}{0.5}
=0
$
$g_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+2}{2*0.25}=\frac{4}{0.5}
=8
$