1/(1-4x)=1/5

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Solution for 1/(1-4x)=1/5 equation: 


D( x )

1-(4*x) = 0

1-(4*x) = 0

1-(4*x) = 0

1-4*x = 0

1-4*x = 0 // - 1

-4*x = -1 // : -4

x = -1/(-4)

x = 1/4

x in (-oo:1/4) U (1/4:+oo)

1/(1-(4*x)) = 1/5 // - 1/5

1/(1-(4*x))-(1/5) = 0

1/(1-4*x)-1/5 = 0

(1*5)/(5*(1-4*x))+(-1*(1-4*x))/(5*(1-4*x)) = 0

1*5-1*(1-4*x) = 0

4*x+4 = 0

(4*x+4)/(5*(1-4*x)) = 0

(4*x+4)/(5*(1-4*x)) = 0 // * 5*(1-4*x)

4*x+4 = 0

4*x+4 = 0 // - 4

4*x = -4 // : 4

x = -4/4

x = -1

x = -1

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