1/(0.7+0.3/x)=3

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Solution for 1/(0.7+0.3/x)=3 equation: 


D( x )

0.3/x+0.7 = 0

x = 0

0.3/x+0.7 = 0

0.3/x+0.7 = 0

0.3*x^-1 = -0.7 // : 0.3

x^-1 = -2.33333333

-1 < 0

1/(x^1) = -2.33333333 // * x^1

1 = -2.33333333*x^1 // : -2.33333333

-0.42857143 = x^1

x = -0.42857143

x = 0

x = 0

x in (-oo:-0.42857143) U (-0.42857143:0) U (0:+oo)

1/(0.3/x+0.7) = 3 // - 3

1/(0.3/x+0.7)-3 = 0

1/(0.3*x^-1+0.7)-3 = 0

1/(0.3*x^-1+0.7)+(-3*(0.3*x^-1+0.7))/(0.3*x^-1+0.7) = 0

1-3*(0.3*x^-1+0.7) = 0

-0.9*x^-1-1.1 = 0

(-0.9*x^-1-1.1)/(0.3*x^-1+0.7) = 0

(-0.9*x^-1-1.1)/(0.3*x^-1+0.7) = 0 // * 0.3*x^-1+0.7

-0.9*x^-1-1.1 = 0

-0.9*x^-1 = 1.1 // : -0.9

x^-1 = -1.22222222

-1 < 0

1/(x^1) = -1.22222222 // * x^1

1 = -1.22222222*x^1 // : -1.22222222

-0.81818182 = x^1

x = -0.81818182

x = -0.81818182

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