10/x=5/(4x)+1

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Solution for 10/x=5/(4x)+1 equation: 


D( x )

x = 0

4*x = 0

x = 0

x = 0

4*x = 0

4*x = 0

4*x = 0 // : 4

x = 0

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

10/x = 5/(4*x)+1 // - 5/(4*x)+1

10/x-(5/(4*x))-1 = 0

10/x+(-5/4)*x^-1-1 = 0

35/4*x^-1 = 1 // : 35/4

x^-1 = 4/35

-1 < 0

1/(x^1) = 4/35 // * x^1

1 = 4/35*x^1 // : 4/35

35/4 = x^1

x = 35/4

x = 35/4

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