144/54x=0x

Solution for 144/54x=0x equation:

144/54x=0x

We move all terms to the left:

144/54x-(0x)=0


Domain of the equation: 54x!=0

x!=0/54

x!=0

x∈R


We add all the numbers together, and all the variables

-1x+144/54x=0

We multiply all the terms by the denominator


-1x*54x+144=0

Wy multiply elements

-54x^2+144=0

a = -54; b = 0; c = +144;
Δ = b2-4ac
Δ = 02-4·(-54)·144
Δ = 31104
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:

$\sqrt{\Delta}=\sqrt{31104}=\sqrt{5184*6}=\sqrt{5184}*\sqrt{6}=72\sqrt{6}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-72\sqrt{6}}{2*-54}=\frac{0-72\sqrt{6}}{-108}
=-\frac{72\sqrt{6}}{-108}
=-\frac{2\sqrt{6}}{-3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+72\sqrt{6}}{2*-54}=\frac{0+72\sqrt{6}}{-108}
=\frac{72\sqrt{6}}{-108}
=\frac{2\sqrt{6}}{-3}
$