0.5x^2=32

Solution for 0.5x^2=32 equation:

0.5x^2=32

We move all terms to the left:

0.5x^2-(32)=0

a = 0.5; b = 0; c = -32;
Δ = b2-4ac
Δ = 02-4·0.5·(-32)
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8}{2*0.5}=\frac{-8}{1}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8}{2*0.5}=\frac{8}{1}
=8
$