1.5x^2-72=0

Solution for 1.5x^2-72=0 equation:

1.5x^2-72=0

a = 1.5; b = 0; c = -72;
Δ = b2-4ac
Δ = 02-4·1.5·(-72)
Δ = 432
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:

$\sqrt{\Delta}=\sqrt{432}=\sqrt{144*3}=\sqrt{144}*\sqrt{3}=12\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{3}}{2*1.5}=\frac{0-12\sqrt{3}}{3}
=-\frac{12\sqrt{3}}{3}
=-4\sqrt{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{3}}{2*1.5}=\frac{0+12\sqrt{3}}{3}
=\frac{12\sqrt{3}}{3}
=4\sqrt{3}
$