0.25x^2=36

Solution for 0.25x^2=36 equation:

0.25x^2=36

We move all terms to the left:

0.25x^2-(36)=0

a = 0.25; b = 0; c = -36;
Δ = b2-4ac
Δ = 02-4·0.25·(-36)
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6}{2*0.25}=\frac{-6}{0.5}
=-12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6}{2*0.25}=\frac{6}{0.5}
=12
$