(1)/(3x+3)+(1)/(x+1)=(1)/(6)

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



(1)/(3x+3)+(1)/(x+1)=(1)/(6)

We move all terms to the left:

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



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

We move all terms containing x to the left, all other terms to the right

3x!=-3

x!=-3/3

x!=-1

x∈R





Domain of the equation: (x+1)!=0

We move all terms containing x to the left, all other terms to the right

x!=-1

x∈R



We add all the numbers together, and all the variables

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

We get rid of parentheses

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

We calculate fractions


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



We calculate terms in parentheses: +(6x+6)/((3x+3)*(x+1)*6), so:

6x+6)/((3x+3)*(x+1)*6

We multiply all the terms by the denominator


6x*((3x+3)*(x+1)*6+6)

Back to the equation:

+(6x*((3x+3)*(x+1)*6+6))





We calculate terms in parentheses: +(18x+18)/((3x+3)*(x+1)*6), so:

18x+18)/((3x+3)*(x+1)*6

We multiply all the terms by the denominator


18x*((3x+3)*(x+1)*6+18)

Back to the equation:

+(18x*((3x+3)*(x+1)*6+18))





We calculate terms in parentheses: +(-1*(3x+3)*(x+1))/((3x+3)*(x+1)*6), so:

-1*(3x+3)*(x+1))/((3x+3)*(x+1)*6

We multiply all the terms by the denominator


-1*(3x+3)*(x+1))

Back to the equation:

+(-1*(3x+3)*(x+1)))





We calculate terms in parentheses: +(6x*((3x+3)*(x+1)*6+6)), so:

6x*((3x+3)*(x+1)*6+6)





We calculate terms in parentheses: +(18x*((3x+3)*(x+1)*6+18)), so:

18x*((3x+3)*(x+1)*6+18)





We calculate terms in parentheses: +(-1*(3x+3)*(x+1))), so:

-1*(3x+3)*(x+1))





We calculate terms in parentheses: +(6x*((3x+3)*(x+1)*6+6)), so:

6x*((3x+3)*(x+1)*6+6)





We calculate terms in parentheses: +(18x*((3x+3)*(x+1)*6+18)), so:

18x*((3x+3)*(x+1)*6+18)





We calculate terms in parentheses: +(-1*(3x+3)*(x+1))), so:

-1*(3x+3)*(x+1))





We calculate terms in parentheses: +(6x*((3x+3)*(x+1)*6+6)), so:

6x*((3x+3)*(x+1)*6+6)





We calculate terms in parentheses: +(18x*((3x+3)*(x+1)*6+18)), so:

18x*((3x+3)*(x+1)*6+18)





We calculate terms in parentheses: +(-1*(3x+3)*(x+1))), so:

-1*(3x+3)*(x+1))





We calculate terms in parentheses: +(6x*((3x+3)*(x+1)*6+6)), so:

6x*((3x+3)*(x+1)*6+6)





We calculate terms in parentheses: +(18x*((3x+3)*(x+1)*6+18)), so:

18x*((3x+3)*(x+1)*6+18)





We calculate terms in parentheses: +(-1*(3x+3)*(x+1))), so:

-1*(3x+3)*(x+1))





We calculate terms in parentheses: +(6x*((3x+3)*(x+1)*6+6)), so:

6x*((3x+3)*(x+1)*6+6)





We calculate terms in parentheses: +(18x*((3x+3)*(x+1)*6+18)), so:

18x*((3x+3)*(x+1)*6+18)





We calculate terms in parentheses: +(-1*(3x+3)*(x+1))), so:

-1*(3x+3)*(x+1))





We calculate terms in parentheses: +(6x*((3x+3)*(x+1)*6+6)), so:

6x*((3x+3)*(x+1)*6+6)





We calculate terms in parentheses: +(18x*((3x+3)*(x+1)*6+18)), so:

18x*((3x+3)*(x+1)*6+18)





We calculate terms in parentheses: +(-1*(3x+3)*(x+1))), so:

-1*(3x+3)*(x+1))





We calculate terms in parentheses: +(6x*((3x+3)*(x+1)*6+6)), so:

6x*((3x+3)*(x+1)*6+6)





We calculate terms in parentheses: +(18x*((3x+3)*(x+1)*6+18)), so:

18x*((3x+3)*(x+1)*6+18)





We calculate terms in parentheses: +(-1*(3x+3)*(x+1))), so:

-1*(3x+3)*(x+1))





We calculate terms in parentheses: +(6x*((3x+3)*(x+1)*6+6)), so:

6x*((3x+3)*(x+1)*6+6)





We calculate terms in parentheses: +(18x*((3x+3)*(x+1)*6+18)), so:

18x*((3x+3)*(x+1)*6+18)





We calculate terms in parentheses: +(-1*(3x+3)*(x+1))), so:

-1*(3x+3)*(x+1))





We calculate terms in parentheses: +(6x*((3x+3)*(x+1)*6+6)), so:

6x*((3x+3)*(x+1)*6+6)





We calculate terms in parentheses: +(18x*((3x+3)*(x+1)*6+18)), so:

18x*((3x+3)*(x+1)*6+18)





We calculate terms in parentheses: +(-1*(3x+3)*(x+1))), so:

-1*(3x+3)*(x+1))





We calculate terms in parentheses: +(6x*((3x+3)*(x+1)*6+6)), so:

6x*((3x+3)*(x+1)*6+6)





We calculate terms in parentheses: +(18x*((3x+3)*(x+1)*6+18)), so:

18x*((3x+3)*(x+1)*6+18)





We calculate terms in parentheses: +(-1*(3x+3)*(x+1))), so:

-1*(3x+3)*(x+1))





We calculate terms in parentheses: +(6x*((3x+3)*(x+1)*6+6)), so:

6x*((3x+3)*(x+1)*6+6)





We calculate terms in parentheses: +(18x*((3x+3)*(x+1)*6+18)), so:

18x*((3x+3)*(x+1)*6+18)





We calculate terms in parentheses: +(-1*(3x+3)*(x+1))), so:

-1*(3x+3)*(x+1))





							

									
									
									
									
									
									

														
			

			
				

						
				
				
					
			
						
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