0=1.5x^2-24

Solution for 0=1.5x^2-24 equation:

0=1.5x^2-24

We move all terms to the left:

0-(1.5x^2-24)=0

We add all the numbers together, and all the variables

-(1.5x^2-24)=0

We get rid of parentheses

-1.5x^2+24=0

a = -1.5; b = 0; c = +24;
Δ = b2-4ac
Δ = 02-4·(-1.5)·24
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12}{2*-1.5}=\frac{-12}{-3}
=+4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12}{2*-1.5}=\frac{12}{-3}
=-4
$