x*x*6=1.5

Solution for x*x*6=1.5 equation:

x*x*6=1.5

We move all terms to the left:

x*x*6-(1.5)=0

We add all the numbers together, and all the variables

x*x*6-1.5=0

Wy multiply elements

6x^2*6-1.5=0

Wy multiply elements

36x^2-1.5=0

a = 36; b = 0; c = -1.5;
Δ = b2-4ac
Δ = 02-4·36·(-1.5)
Δ = 216
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:

$\sqrt{\Delta}=\sqrt{216}=\sqrt{36*6}=\sqrt{36}*\sqrt{6}=6\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{6}}{2*36}=\frac{0-6\sqrt{6}}{72}
=-\frac{6\sqrt{6}}{72}
=-\frac{\sqrt{6}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{6}}{2*36}=\frac{0+6\sqrt{6}}{72}
=\frac{6\sqrt{6}}{72}
=\frac{\sqrt{6}}{12}
$