3x-4/x-9=5x+8/x-9

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Solution for 3x-4/x-9=5x+8/x-9 equation: 



3x-4/x-9=5x+8/x-9

We move all terms to the left:

3x-4/x-9-(5x+8/x-9)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x-9)!=0

x∈R



We get rid of parentheses

3x-4/x-5x-8/x+9-9=0

We multiply all the terms by the denominator


3x*x-5x*x+9*x-9*x-4-8=0

We add all the numbers together, and all the variables

3x*x-5x*x-12=0

Wy multiply elements

3x^2-5x^2-12=0

We add all the numbers together, and all the variables

-2x^2-12=0

a = -2; b = 0; c = -12;
Δ = b2-4ac
Δ = 02-4·(-2)·(-12)
Δ = -96
Delta is less than zero, so there is no solution for the equation

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