-18-6x=6(1/3x)

Solution for -18-6x=6(1/3x) equation:

-18-6x=6(1/3x)

We move all terms to the left:

-18-6x-(6(1/3x))=0


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

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-6x-(6(+1/3x))-18=0

We multiply all the terms by the denominator


-6x*3x))-(6(-18*3x))+1=0

Wy multiply elements

-18x^2-54x=0

a = -18; b = -54; c = 0;
Δ = b2-4ac
Δ = -542-4·(-18)·0
Δ = 2916
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2916}=54$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-54)-54}{2*-18}=\frac{0}{-36}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-54)+54}{2*-18}=\frac{108}{-36}
=-3
$