x/3x^2+8=155

Solution for x/3x^2+8=155 equation:

x/3x^2+8=155

We move all terms to the left:

x/3x^2+8-(155)=0


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

x^2!=0/3

x^2!=√0

x!=0

x∈R


We add all the numbers together, and all the variables

x/3x^2-147=0

We multiply all the terms by the denominator


x-147*3x^2=0

Wy multiply elements

-441x^2+x=0

a = -441; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-441)·0
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-441}=\frac{-2}{-882}
=1/441
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-441}=\frac{0}{-882}
=0
$