(3x-4)(5/x-1/2)=0

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Solution for (3x-4)(5/x-1/2)=0 equation: 


D( x )

x = 0

x = 0

x = 0

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

(3*x-4)*(5/x-(1/2)) = 0

(3*x-4)*(5/x-1/2) = 0

(3*x-4)*(5*x^-1-1/2) = 0

( 3*x-4 )

3*x-4 = 0 // + 4

3*x = 4 // : 3

x = 4/3

( 5*x^-1-1/2 )

5*x^-1 = 1/2 // : 5

x^-1 = 1/10

-1 < 0

1/(x^1) = 1/10 // * x^1

1 = 1/10*x^1 // : 1/10

10 = x^1

x = 10

x in { 4/3, 10 }

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