1/(1+0.2*X)=0.7

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Solution for 1/(1+0.2*X)=0.7 equation: 


D( X )

0.2*X+1 = 0

0.2*X+1 = 0

0.2*X+1 = 0

0.2*X+1 = 0 // - 1

0.2*X = -1 // : 0.2

X = -1/0.2

X = -5

X in (-oo:-5) U (-5:+oo)

1/(0.2*X+1) = 0.7 // - 0.7

1/(0.2*X+1)-0.7 = 0

1/(0.2*X+1)+(-0.7*(0.2*X+1))/(0.2*X+1) = 0

1-0.7*(0.2*X+1) = 0

0.3-0.14*X = 0

(0.3-0.14*X)/(0.2*X+1) = 0

(0.3-0.14*X)/(0.2*X+1) = 0 // * 0.2*X+1

0.3-0.14*X = 0

0.3-0.14*X = 0 // - 0.3

-0.14*X = -0.3 // : -0.14

X = -0.3/(-0.14)

X = 2.14285714

X = 2.14285714

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