4/x+6-2/x-6=5x/x^-36

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Solution for 4/x+6-2/x-6=5x/x^-36 equation:



4/x+6-2/x-6=5x/x^-36
We move all terms to the left:
4/x+6-2/x-6-(5x/x^-36)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x^-36)!=0
x∈R
We add all the numbers together, and all the variables
4/x-2/x-(5x/x^-36)=0
We get rid of parentheses
4/x-2/x-5x/x^+36=0
We calculate fractions
(-5x^2)/x^2+(-2x+4)/x^2+36=0
We multiply all the terms by the denominator
(-5x^2)+(-2x+4)+36*x^2=0
We add all the numbers together, and all the variables
36x^2+(-5x^2)+(-2x+4)=0
We get rid of parentheses
36x^2-5x^2-2x+4=0
We add all the numbers together, and all the variables
31x^2-2x+4=0
a = 31; b = -2; c = +4;
Δ = b2-4ac
Δ = -22-4·31·4
Δ = -492
Delta is less than zero, so there is no solution for the equation

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