X+1/3x+3=180

Solution for X+1/3x+3=180 equation:

X+1/3X+3=180

We move all terms to the left:

X+1/3X+3-(180)=0


Domain of the equation: 3X!=0

X!=0/3

X!=0

X∈R


We add all the numbers together, and all the variables

X+1/3X-177=0

We multiply all the terms by the denominator


X*3X-177*3X+1=0

Wy multiply elements

3X^2-531X+1=0

a = 3; b = -531; c = +1;
Δ = b2-4ac
Δ = -5312-4·3·1
Δ = 281949
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-531)-\sqrt{281949}}{2*3}=\frac{531-\sqrt{281949}}{6}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-531)+\sqrt{281949}}{2*3}=\frac{531+\sqrt{281949}}{6}
$