1025/(8+e^4x)=5

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Solution for 1025/(8+e^4x)=5 equation: 


D( x )

e^4*x+8 = 0

e^4*x+8 = 0

e^4*x+8 = 0

e^4*x+8 = 0 // - 8

e^4*x = -8 // : e^4

x = -8/(e^4)

x in (-oo:-8/(e^4)) U (-8/(e^4):+oo)

1025/(e^4*x+8) = 5 // - 5

1025/(e^4*x+8)-5 = 0

1025/(e^4*x+8)+(-5*(e^4*x+8))/(e^4*x+8) = 0

1025-5*(e^4*x+8) = 0

985-5*e^4*x = 0

(985-5*e^4*x)/(e^4*x+8) = 0

(985-5*e^4*x)/(e^4*x+8) = 0 // * e^4*x+8

985-5*e^4*x = 0

985-5*e^4*x = 0 // - 985

-5*e^4*x = -985 // : -5*e^4

x = -985/(-5*e^4)

x = 197*e^-4

x = 197*e^-4

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