1.5/4x-1=0.4/x+4

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Solution for 1.5/4x-1=0.4/x+4 equation: 



1.5/4x-1=0.4/x+4

We move all terms to the left:

1.5/4x-1-(0.4/x+4)=0



Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R





Domain of the equation: x+4)!=0

x∈R



We get rid of parentheses

1.5/4x-0.4/x-4-1=0

We calculate fractions


(1.5x)/4x^2+(-0.4*4x)/4x^2-4-1=0

We add all the numbers together, and all the variables

(+1.5x)/4x^2+(-0.4*4x)/4x^2-4-1=0

We add all the numbers together, and all the variables

(+1.5x)/4x^2+(-0.4*4x)/4x^2-5=0

We multiply all the terms by the denominator


(+1.5x)+(-0.4*4x)-5*4x^2=0

Wy multiply elements

-20x^2+(+1.5x)+(-0.4*4x)=0

We get rid of parentheses

-20x^2+1.5x-0.4*4x=0

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