12/x+6/2x=5/x-2

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Solution for 12/x+6/2x=5/x-2 equation: 



12/x+6/2x=5/x-2

We move all terms to the left:

12/x+6/2x-(5/x-2)=0



Domain of the equation: x!=0

x∈R





Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R





Domain of the equation: x-2)!=0

x∈R



We get rid of parentheses

12/x+6/2x-5/x+2=0

We calculate fractions


(-10x+12)/2x^2+6x/2x^2+2=0

We multiply all the terms by the denominator


(-10x+12)+6x+2*2x^2=0

We add all the numbers together, and all the variables

6x+(-10x+12)+2*2x^2=0

Wy multiply elements

4x^2+6x+(-10x+12)=0

We get rid of parentheses

4x^2+6x-10x+12=0

We add all the numbers together, and all the variables

4x^2-4x+12=0

a = 4; b = -4; c = +12;
Δ = b2-4ac
Δ = -42-4·4·12
Δ = -176
Delta is less than zero, so there is no solution for the equation

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