-1.5y2=-3

Solution for -1.5y2=-3 equation:

-1.5y^2=-3

We move all terms to the left:

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

We add all the numbers together, and all the variables

-1.5y^2+3=0

a = -1.5; b = 0; c = +3;
Δ = b2-4ac
Δ = 02-4·(-1.5)·3
Δ = 18
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{18}=\sqrt{9*2}=\sqrt{9}*\sqrt{2}=3\sqrt{2}$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-3\sqrt{2}}{2*-1.5}=\frac{0-3\sqrt{2}}{-3}
=-\frac{3\sqrt{2}}{-3}
=-\frac{\sqrt{2}}{-1}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+3\sqrt{2}}{2*-1.5}=\frac{0+3\sqrt{2}}{-3}
=\frac{3\sqrt{2}}{-3}
=\frac{\sqrt{2}}{-1}
$