x-5/x+5=4x+7

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Solution for x-5/x+5=4x+7 equation: 



x-5/x+5=4x+7

We move all terms to the left:

x-5/x+5-(4x+7)=0



Domain of the equation: x!=0

x∈R



We get rid of parentheses

x-5/x-4x-7+5=0

We multiply all the terms by the denominator


x*x-4x*x-7*x+5*x-5=0

We add all the numbers together, and all the variables

-2x+x*x-4x*x-5=0

Wy multiply elements

x^2-4x^2-2x-5=0

We add all the numbers together, and all the variables

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

a = -3; b = -2; c = -5;
Δ = b2-4ac
Δ = -22-4·(-3)·(-5)
Δ = -56
Delta is less than zero, so there is no solution for the equation

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