1/(1-0.75(1-x)+0.1)=2.375

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Solution for 1/(1-0.75(1-x)+0.1)=2.375 equation: 


D( x )

0.1-(0.75*(1-x))+1 = 0

0.1-(0.75*(1-x))+1 = 0

0.1-(0.75*(1-x))+1 = 0

0.1-0.75*(1-x)+1 = 0

0.1-0.75*(1-x)+1 = 0

0.75*x-0.65+1 = 0

0.75*x+0.35 = 0

0.75*x+0.35 = 0

0.75*x+0.35 = 0 // - 0.35

0.75*x = -0.35 // : 0.75

x = -0.35/0.75

x = -0.46666667

x in (-oo:-0.46666667) U (-0.46666667:+oo)

1/(0.1-(0.75*(1-x))+1) = 2.375 // - 2.375

1/(0.1-(0.75*(1-x))+1)-2.375 = 0

1/(0.1-0.75*(1-x)+1)-2.375 = 0

0.1-0.75*(1-x)+1 = 0

0.1-0.75*(1-x)+1 = 0

0.1-0.75*(1-x)+1 = 0

0.75*x-0.65+1 = 0

0.75*x+0.35 = 0

0.75*x+0.35 = 0

1/(0.75*x+0.35)-2.375 = 0

1/(0.75*x+0.35)+(-2.375*(0.75*x+0.35))/(0.75*x+0.35) = 0

1-2.375*(0.75*x+0.35) = 0

0.16875-1.78125*x = 0

(0.16875-1.78125*x)/(0.75*x+0.35) = 0

(0.16875-1.78125*x)/(0.75*x+0.35) = 0 // * 0.75*x+0.35

0.16875-1.78125*x = 0

0.16875-1.78125*x = 0 // - 0.16875

-1.78125*x = -0.16875 // : -1.78125

x = -0.16875/(-1.78125)

x = 0.09473684

x = 0.09473684

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