6x/x-5-8x-3/x-5=-3/5

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Solution for 6x/x-5-8x-3/x-5=-3/5 equation: 



6x/x-5-8x-3/x-5=-3/5

We move all terms to the left:

6x/x-5-8x-3/x-5-(-3/5)=0



Domain of the equation: x!=0

x∈R



We add all the numbers together, and all the variables

-8x+6x/x-3/x-10-(-3/5)=0

We get rid of parentheses

-8x+6x/x-3/x-10+3/5=0

We calculate fractions


-8x+(6x-15)/5x+3x/5x-10=0

We multiply all the terms by the denominator


-8x*5x+(6x-15)+3x-10*5x=0

We add all the numbers together, and all the variables

3x-8x*5x+(6x-15)-10*5x=0

Wy multiply elements

-40x^2+3x+(6x-15)-50x=0

We get rid of parentheses

-40x^2+3x+6x-50x-15=0

We add all the numbers together, and all the variables

-40x^2-41x-15=0

a = -40; b = -41; c = -15;
Δ = b2-4ac
Δ = -412-4·(-40)·(-15)
Δ = -719
Delta is less than zero, so there is no solution for the equation

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