Step-by-step explanation:
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
