4/x+2/(0.25-x)=x

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Solution for 4/x+2/(0.25-x)=x equation:



4/x+2/(0.25-x)=x
We move all terms to the left:
4/x+2/(0.25-x)-(x)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: (0.25-x)!=0
We move all terms containing x to the left, all other terms to the right
-x!=-0.25
x!=-0.25/-1
x!=0.25/1
x∈R
We add all the numbers together, and all the variables
4/x+2/(-1x+0.25)-x=0
We add all the numbers together, and all the variables
-1x+4/x+2/(-1x+0.25)=0
We calculate fractions
(-4x+1)/(-1x^2+0.25x)+2x/(-1x^2+0.25x)-1x=0
We multiply all the terms by the denominator
-1x*(-1x^2+0.25x)+(-4x+1)+2x=0
We add all the numbers together, and all the variables
-1x*(-1x^2+0.25x)+2x+(-4x+1)=0
We multiply parentheses
1x^3-0x^2+2x+(-4x+1)=0
We get rid of parentheses
1x^3-0x^2+2x-4x+1=0
We do not support expression: x^3

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