(4/(m-5))-(4/(5-m))

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Solution for (4/(m-5))-(4/(5-m)) equation: 


D( m )

5-m = 0

m-5 = 0

5-m = 0

5-m = 0

5-m = 0 // - 5

-m = -5 // * -1

m = 5

m-5 = 0

m-5 = 0

m-5 = 0 // + 5

m = 5

m in (-oo:5) U (5:+oo)

4/(m-5)-(4/(5-m)) = 0

4/(m-5)-4*(5-m)^-1 = 0

4/(m-5)-4/(5-m) = 0

(4*(5-m))/((m-5)*(5-m))+(-4*(m-5))/((m-5)*(5-m)) = 0

4*(5-m)-4*(m-5) = 0

40-8*m = 0

(40-8*m)/((m-5)*(5-m)) = 0

(40-8*m)/((m-5)*(5-m)) = 0 // * (m-5)*(5-m)

40-8*m = 0

40-8*m = 0 // - 40

-8*m = -40 // : -8

m = -40/(-8)

m = 5

m in { 5} 

m belongs to the empty set

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