4x+5/x+5=10x/x+1

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Solution for 4x+5/x+5=10x/x+1 equation:



4x+5/x+5=10x/x+1
We move all terms to the left:
4x+5/x+5-(10x/x+1)=0
Domain of the equation: x!=0
x∈R
Domain of the equation: x+1)!=0
x∈R
We get rid of parentheses
4x+5/x-10x/x-1+5=0
We multiply all the terms by the denominator
4x*x-10x-1*x+5*x+5=0
We add all the numbers together, and all the variables
-6x+4x*x+5=0
Wy multiply elements
4x^2-6x+5=0
a = 4; b = -6; c = +5;
Δ = b2-4ac
Δ = -62-4·4·5
Δ = -44
Delta is less than zero, so there is no solution for the equation

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