((0.9x)-0.4)/((0.9x)+0.1)=0.5

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Solution for ((0.9x)-0.4)/((0.9x)+0.1)=0.5 equation: 


D( x )

0.9*x+0.1 = 0

0.9*x+0.1 = 0

0.9*x+0.1 = 0

0.9*x+0.1 = 0 // - 0.1

0.9*x = -0.1 // : 0.9

x = -0.1/0.9

x = -0.11111111

x in (-oo:-0.11111111) U (-0.11111111:+oo)

(0.9*x-0.4)/(0.9*x+0.1) = 0.5 // - 0.5

(0.9*x-0.4)/(0.9*x+0.1)-0.5 = 0

(0.9*x-0.4)/(0.9*x+0.1)+(-0.5*(0.9*x+0.1))/(0.9*x+0.1) = 0

0.9*x-0.5*(0.9*x+0.1)-0.4 = 0

0.45*x-0.45 = 0

(0.45*x-0.45)/(0.9*x+0.1) = 0

(0.45*x-0.45)/(0.9*x+0.1) = 0 // * 0.9*x+0.1

0.45*x-0.45 = 0

0.45*x-0.45 = 0 // + 0.45

0.45*x = 0.45 // : 0.45

x = 0.45/0.45

x = 1

x = 1

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