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8x+21/x=5x-32/x
We move all terms to the left:
8x+21/x-(5x-32/x)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
8x+21/x-(+5x-32/x)=0
We get rid of parentheses
8x+21/x-5x+32/x=0
We multiply all the terms by the denominator
8x*x-5x*x+21+32=0
We add all the numbers together, and all the variables
8x*x-5x*x+53=0
Wy multiply elements
8x^2-5x^2+53=0
We add all the numbers together, and all the variables
3x^2+53=0
a = 3; b = 0; c = +53;
Δ = b2-4ac
Δ = 02-4·3·53
Δ = -636
Delta is less than zero, so there is no solution for the equation
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