1.5x^2=96

Solution for 1.5x^2=96 equation:

1.5x^2=96

We move all terms to the left:

1.5x^2-(96)=0

a = 1.5; b = 0; c = -96;
Δ = b2-4ac
Δ = 02-4·1.5·(-96)
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24}{2*1.5}=\frac{-24}{3}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24}{2*1.5}=\frac{24}{3}
=8
$