Question

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

Answer 1

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