(x/(2x+1))+((2x+1)/x)=58/21

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Solution for (x/(2x+1))+((2x+1)/x)=58/21 equation: 



(x/(2x+1))+((2x+1)/x)=58/21

We move all terms to the left:

(x/(2x+1))+((2x+1)/x)-(58/21)=0



Domain of the equation: (2x+1))!=0

x∈R





Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

(x/(2x+1))+((2x+1)/x)-(+58/21)=0

We get rid of parentheses

(x/(2x+1))+((2x+1)/x)-58/21=0

We calculate fractions


(-58x^2-116x)/(21x^2+42x)+21x^2/(21x^2+42x)+(((2x+1)*(2x+1))*21)/(21x^2+42x)=0



We calculate terms in parentheses: +(((2x+1)*(2x+1))*21)/(21x^2+42x), so:

((2x+1)*(2x+1))*21)/(21x^2+42x

We add all the numbers together, and all the variables

42x+((2x+1)*(2x+1))*21)/(21x^2

We multiply all the terms by the denominator


42x*(21x^2+((2x+1)*(2x+1))*21)

Back to the equation:

+(42x*(21x^2+((2x+1)*(2x+1))*21))



We multiply all the terms by the denominator


(-58x^2-116x)+21x^2+((42x*(21x^2+((2x+1)*(2x+1))*21)))*(21x^2+42x)=0



We calculate terms in parentheses: +((42x*(21x^2+((2x+1)*(2x+1))*21)))*(21x^2+42x), so:

(42x*(21x^2+((2x+1)*(2x+1))*21)))*(21x^2+42x

We add all the numbers together, and all the variables

42x+(42x*(21x^2+((2x+1)*(2x+1))*21)))*(21x^2

Back to the equation:

+(42x+(42x*(21x^2+((2x+1)*(2x+1))*21)))*(21x^2)



We add all the numbers together, and all the variables

21x^2+(-58x^2-116x)+(42x+(42x*(21x^2+((2x+1)*(2x+1))*21)))*21x^2=0

We get rid of parentheses

21x^2-58x^2-116x+(42x+(42x*(21x^2+((2x+1)*(2x+1))*21)))*21x^2=0

We add all the numbers together, and all the variables

-37x^2-116x+(42x+(42x*(21x^2+((2x+1)*(2x+1))*21)))*21x^2=0

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