7/(m-6)-(m)/(6-m)

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Solution for 7/(m-6)-(m)/(6-m) equation: 


D( m )

m-6 = 0

6-m = 0

m-6 = 0

m-6 = 0

m-6 = 0 // + 6

m = 6

6-m = 0

6-m = 0

6-m = 0 // - 6

-m = -6 // * -1

m = 6

m in (-oo:6) U (6:+oo)

7/(m-6)-(m/(6-m)) = 0

7/(m-6)+(-1*m)/(6-m) = 0

(7*(6-m))/((m-6)*(6-m))+(-1*m*(m-6))/((m-6)*(6-m)) = 0

7*(6-m)-1*m*(m-6) = 0

42-m^2-m = 0

42-m^2-m = 0

42-m^2-m = 0

DELTA = (-1)^2-(-1*4*42)

DELTA = 169

DELTA > 0

m = (169^(1/2)+1)/(-1*2) or m = (1-169^(1/2))/(-1*2)

m = -7 or m = 6

(m+7)*(m-6) = 0

((m+7)*(m-6))/((m-6)*(6-m)) = 0

((m+7)*(m-6))/((m-6)*(6-m)) = 0 // * (m-6)*(6-m)

(m+7)*(m-6) = 0

( m+7 )

m+7 = 0 // - 7

m = -7

( m-6 )

m-6 = 0 // + 6

m = 6

m in { 6} 

m = -7

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