1.5x^2-3=3

Solution for 1.5x^2-3=3 equation:

1.5x^2-3=3

We move all terms to the left:

1.5x^2-3-(3)=0

We add all the numbers together, and all the variables

1.5x^2-6=0

a = 1.5; b = 0; c = -6;
Δ = b2-4ac
Δ = 02-4·1.5·(-6)
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*1.5}=\frac{-6}{3}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6}{2*1.5}=\frac{6}{3}
=2
$