10-(20((e/(0.1x))-(e/(0.5x))))=5

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Solution for 10-(20((e/(0.1x))-(e/(0.5x))))=5 equation: 


D( x )

0.5*x = 0

0.1*x = 0

0.5*x = 0

0.5*x = 0

0.5*x = 0 // : 0.5

x = 0

0.1*x = 0

0.1*x = 0

0.1*x = 0 // : 0.1

x = 0

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

10-(20*(e/(0.1*x)-(e/(0.5*x)))) = 5 // - 5

10-(20*(e/(0.1*x)-(e/(0.5*x))))-5 = 0

10-20*(e/(0.1*x)-2*e*x^-1)-5 = 0

10-20*8*e*x^-1-5 = 0

10-20*8*e*x^-1-5 = 0

10-160*e*x^-1-5 = 0

5-160*e*x^-1 = 0

5-160*e*x^-1 = 0

-160*e*x^-1 = -5 // : -160*e

x^-1 = (e^-1)/32

-1 < 0

1/(x^1) = (e^-1)/32 // * x^1

1 = ((e^-1)/32)*x^1 // : (e^-1)/32

32*e = x^1

x = 32*e

x = 32*e

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