0=0.5x^2-1.5

Solution for 0=0.5x^2-1.5 equation:

0=0.5x^2-1.5

We move all terms to the left:

0-(0.5x^2-1.5)=0

We add all the numbers together, and all the variables

-(0.5x^2-1.5)=0

We get rid of parentheses

-0.5x^2+1.5=0

a = -0.5; b = 0; c = +1.5;
Δ = b2-4ac
Δ = 02-4·(-0.5)·1.5
Δ = 3
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{3}}{2*-0.5}=\frac{0-\sqrt{3}}{-1}
=-\frac{\sqrt{}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{3}}{2*-0.5}=\frac{0+\sqrt{3}}{-1}
=\frac{\sqrt{}}{-1}
$