2x+3/(x+2)(x-2)-5/x-2=4/x+2

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Solution for 2x+3/(x+2)(x-2)-5/x-2=4/x+2 equation:



2x+3/(x+2)(x-2)-5/x-2=4/x+2
We move all terms to the left:
2x+3/(x+2)(x-2)-5/x-2-(4/x+2)=0
Domain of the equation: (x+2)(x-2)!=0
We move all terms containing x to the left, all other terms to the right
x+2)(x!=2
x∈R
Domain of the equation: x!=0
x∈R
Domain of the equation: x+2)!=0
x∈R
We use the square of the difference formula
x^2+2x-5/x-(4/x+2)-4-2=0
We get rid of parentheses
x^2+2x-5/x-4/x-2-4-2=0
We multiply all the terms by the denominator
x^2*x+2x*x-2*x-4*x-2*x-5-4=0
We add all the numbers together, and all the variables
x^2*x-8x+2x*x-9=0
Wy multiply elements
x^3+2x^2-8x-9=0
We do not support expression: x^3

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