8x-5/x=5x-12.5/x

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Solution for 8x-5/x=5x-12.5/x equation: 



8x-5/x=5x-12.5/x

We move all terms to the left:

8x-5/x-(5x-12.5/x)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

8x-5/x-(+5x-12.5/x)=0

We get rid of parentheses

8x-5/x-5x+12.5/x=0

We multiply all the terms by the denominator


8x*x-5x*x-5+12.5=0

We add all the numbers together, and all the variables

8x*x-5x*x+7.5=0

Wy multiply elements

8x^2-5x^2+7.5=0

We add all the numbers together, and all the variables

3x^2+7.5=0

a = 3; b = 0; c = +7.5;
Δ = b2-4ac
Δ = 02-4·3·7.5
Δ = -90
Delta is less than zero, so there is no solution for the equation

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