1.5x^2-30=0

Solution for 1.5x^2-30=0 equation:

1.5x^2-30=0

a = 1.5; b = 0; c = -30;
Δ = b2-4ac
Δ = 02-4·1.5·(-30)
Δ = 180
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{180}=\sqrt{36*5}=\sqrt{36}*\sqrt{5}=6\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{5}}{2*1.5}=\frac{0-6\sqrt{5}}{3}
=-\frac{6\sqrt{5}}{3}
=-2\sqrt{5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{5}}{2*1.5}=\frac{0+6\sqrt{5}}{3}
=\frac{6\sqrt{5}}{3}
=2\sqrt{5}
$