1.5x^2=60

Solution for 1.5x^2=60 equation:

1.5x^2=60

We move all terms to the left:

1.5x^2-(60)=0

a = 1.5; b = 0; c = -60;
Δ = b2-4ac
Δ = 02-4·1.5·(-60)
Δ = 360
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:

$\sqrt{\Delta}=\sqrt{360}=\sqrt{36*10}=\sqrt{36}*\sqrt{10}=6\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{10}}{2*1.5}=\frac{0-6\sqrt{10}}{3}
=-\frac{6\sqrt{10}}{3}
=-2\sqrt{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{10}}{2*1.5}=\frac{0+6\sqrt{10}}{3}
=\frac{6\sqrt{10}}{3}
=2\sqrt{10}
$