48=18/3x2

Solution for 48=18/3x2 equation:

48=18/3x^2

We move all terms to the left:

48-(18/3x^2)=0


Domain of the equation: 3x^2)!=0

x!=0/1

x!=0

x∈R


We get rid of parentheses

-18/3x^2+48=0

We multiply all the terms by the denominator


48*3x^2-18=0

Wy multiply elements

144x^2-18=0

a = 144; b = 0; c = -18;
Δ = b2-4ac
Δ = 02-4·144·(-18)
Δ = 10368
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:

$\sqrt{\Delta}=\sqrt{10368}=\sqrt{5184*2}=\sqrt{5184}*\sqrt{2}=72\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72\sqrt{2}}{2*144}=\frac{0-72\sqrt{2}}{288}
=-\frac{72\sqrt{2}}{288}
=-\frac{\sqrt{2}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72\sqrt{2}}{2*144}=\frac{0+72\sqrt{2}}{288}
=\frac{72\sqrt{2}}{288}
=\frac{\sqrt{2}}{4}
$