21+2/3x=50-11/12X

Solution for 21+2/3x=50-11/12X equation:

21+2/3x=50-11/12x

We move all terms to the left:

21+2/3x-(50-11/12x)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R



Domain of the equation: 12x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

2/3x-(-11/12x+50)+21=0

We get rid of parentheses

2/3x+11/12x-50+21=0

We calculate fractions


24x/36x^2+33x/36x^2-50+21=0

We add all the numbers together, and all the variables

24x/36x^2+33x/36x^2-29=0

We multiply all the terms by the denominator


24x+33x-29*36x^2=0

We add all the numbers together, and all the variables

57x-29*36x^2=0

Wy multiply elements

-1044x^2+57x=0

a = -1044; b = 57; c = 0;
Δ = b2-4ac
Δ = 572-4·(-1044)·0
Δ = 3249
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3249}=57$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(57)-57}{2*-1044}=\frac{-114}{-2088}
=19/348
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(57)+57}{2*-1044}=\frac{0}{-2088}
=0
$