X+18=8/3x

Solution for X+18=8/3x equation:

X+18=8/3X

We move all terms to the left:

X+18-(8/3X)=0


Domain of the equation: 3X)!=0

X!=0/1

X!=0

X∈R


We add all the numbers together, and all the variables

X-(+8/3X)+18=0

We get rid of parentheses

X-8/3X+18=0

We multiply all the terms by the denominator


X*3X+18*3X-8=0

Wy multiply elements

3X^2+54X-8=0

a = 3; b = 54; c = -8;
Δ = b2-4ac
Δ = 542-4·3·(-8)
Δ = 3012
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:

$\sqrt{\Delta}=\sqrt{3012}=\sqrt{4*753}=\sqrt{4}*\sqrt{753}=2\sqrt{753}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(54)-2\sqrt{753}}{2*3}=\frac{-54-2\sqrt{753}}{6}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(54)+2\sqrt{753}}{2*3}=\frac{-54+2\sqrt{753}}{6}
$