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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-1)!=0
We move all terms containing x to the left, all other terms to the right
4x!=1
x!=1/4
x!=1/4
x∈R
Domain of the equation: (x+4))!=0We calculate fractions
x∈R
(1.5x)/((4x-1)*(x+4)))+(-(0.4*(4x-1))/((4x-1)*(x+4)))=0
We calculate terms in parentheses: -(0.4*(4x-1))/((4x-1)*(x+4))), so:We add all the numbers together, and all the variables
0.4*(4x-1))/((4x-1)*(x+4))
We multiply all the terms by the denominator
0.4*(4x-1))
We multiply parentheses
1.6x+
We add all the numbers together, and all the variables
1.6x
Back to the equation:
-(1.6x)
(+1.5x)/((4x-1)*(x+4)))+(-(+1.6x)=0
We get rid of parentheses
(+1.5x)/((4x-1)*(x+4)))+(-1.6x=0
We multiply all the terms by the denominator
(+1.5x)-(1.6x)*((4x-1)*(x+4)))+(=0
We add all the numbers together, and all the variables
(+1.5x)-(+1.6x)*((4x-1)*(x+4)))+(=0
We get rid of parentheses
1.5x-(+1.6x)*((4x-1)*(x+4)))+(=0
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