x/(100+4x)=1/10

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Solution for x/(100+4x)=1/10 equation: 



x/(100+4x)=1/10

We move all terms to the left:

x/(100+4x)-(1/10)=0



Domain of the equation: (100+4x)!=0

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

4x!=-100

x!=-100/4

x!=-25

x∈R



We add all the numbers together, and all the variables

x/(4x+100)-(+1/10)=0

We get rid of parentheses

x/(4x+100)-1/10=0

We calculate fractions


10x/(40x+1000)+(-1*(4x+100))/(40x+1000)=0



We calculate terms in parentheses: +(-1*(4x+100))/(40x+1000), so:

-1*(4x+100))/(40x+1000

We multiply all the terms by the denominator


-1*(4x+100))+1000*(40x

Back to the equation:

+(-1*(4x+100))+1000*(40x)



Wy multiply elements

10x/(40x+1000)+(-1*(4x+100))+40000x=0

We multiply all the terms by the denominator


10x+((-1*(4x+100)))*(40x+1000)+40000x*(40x+1000)=0



We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000



We multiply parentheses

1600000x^2+10x+((-1*(4x+100)))*(40x+1000)+40000000x=0



We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000



We add all the numbers together, and all the variables

1600000x^2+40000010x+((-1*(4x+100)))*(40x+1000)=0



We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))*(40x+1000), so:

(-1*(4x+100)))*(40x+1000





We calculate terms in parentheses: +((-1*(4x+100)))

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