5x+7/x-1=3x+2

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Solution for 5x+7/x-1=3x+2 equation: 



5x+7/x-1=3x+2

We move all terms to the left:

5x+7/x-1-(3x+2)=0



Domain of the equation: x!=0

x∈R



We get rid of parentheses

5x+7/x-3x-2-1=0

We multiply all the terms by the denominator


5x*x-3x*x-2*x-1*x+7=0

We add all the numbers together, and all the variables

-3x+5x*x-3x*x+7=0

Wy multiply elements

5x^2-3x^2-3x+7=0

We add all the numbers together, and all the variables

2x^2-3x+7=0

a = 2; b = -3; c = +7;
Δ = b2-4ac
Δ = -32-4·2·7
Δ = -47
Delta is less than zero, so there is no solution for the equation

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