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3/x+8-4/x-8=3x/x*2-64
We move all terms to the left:
3/x+8-4/x-8-(3x/x*2-64)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x*2-64)!=0We add all the numbers together, and all the variables
x∈R
3/x-4/x-(3x/x*2-64)=0
We get rid of parentheses
3/x-4/x-3x/x*2+64=0
We calculate fractions
(-3x^2)/4x^2+(-16x+3)/4x^2+64=0
We multiply all the terms by the denominator
(-3x^2)+(-16x+3)+64*4x^2=0
Wy multiply elements
(-3x^2)+256x^2+(-16x+3)=0
We get rid of parentheses
-3x^2+256x^2-16x+3=0
We add all the numbers together, and all the variables
253x^2-16x+3=0
a = 253; b = -16; c = +3;
Δ = b2-4ac
Δ = -162-4·253·3
Δ = -2780
Delta is less than zero, so there is no solution for the equation
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