x+5/2x=15/x-2

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Solution for x+5/2x=15/x-2 equation:



x+5/2x=15/x-2
We move all terms to the left:
x+5/2x-(15/x-2)=0
Domain of the equation: 2x!=0
x!=0/2
x!=0
x∈R
Domain of the equation: x-2)!=0
x∈R
We get rid of parentheses
x+5/2x-15/x+2=0
We calculate fractions
x+5x/2x^2+(-30x)/2x^2+2=0
We multiply all the terms by the denominator
x*2x^2+5x+(-30x)+2*2x^2=0
We add all the numbers together, and all the variables
5x+x*2x^2+(-30x)+2*2x^2=0
Wy multiply elements
2x^3+4x^2+5x+(-30x)=0
We get rid of parentheses
2x^3+4x^2+5x-30x=0
We do not support expression: x^3

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