(((6m/m^2-4)-(3/m-2))/(12/(m^2-m-6)))

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Solution for (((6m/m^2-4)-(3/m-2))/(12/(m^2-m-6))) equation:


D( m )

12/(m^2-m-6) = 0

m = 0

m^2 = 0

m^2-m-6 = 0

12/(m^2-m-6) = 0

12/(m^2-m-6) = 0

m^2-m-6 = 0

m^2-m-6 = 0

DELTA = (-1)^2-(-6*1*4)

DELTA = 25

DELTA > 0

m = (25^(1/2)+1)/(1*2) or m = (1-25^(1/2))/(1*2)

m = 3 or m = -2

(m+2)*(m-3) = 0

12/((m+2)*(m-3)) = 0

12 = 0

m belongs to the empty set

m = 0

m = 0

m^2 = 0

m^2 = 0

1*m^2 = 0 // : 1

m^2 = 0

m = 0

m^2-m-6 = 0

m^2-m-6 = 0

m^2-m-6 = 0

DELTA = (-1)^2-(-6*1*4)

DELTA = 25

DELTA > 0

m = (25^(1/2)+1)/(1*2) or m = (1-25^(1/2))/(1*2)

m = 3 or m = -2

m in (-oo:-2) U (-2:0) U (0:3) U (3:+oo)

((6*m)/(m^2)-(3/m)-4+2)/(12/(m^2-m-6)) = 0

((6*m)/(m^2)-3*m^-1-4+2)/(12/(m^2-m-6)) = 0

((3*m^-1-2)*(m^2-m-6))/12 = 0

m^2-m-6 = 0

m^2-m-6 = 0

DELTA = (-1)^2-(-6*1*4)

DELTA = 25

DELTA > 0

m = (25^(1/2)+1)/(1*2) or m = (1-25^(1/2))/(1*2)

m = 3 or m = -2

(m+2)*(m-3) = 0

((3*m^-1-2)*(m+2)*(m-3))/12 = 0

( 3*m^-1-2 )

3*m^-1 = 2 // : 3

m^-1 = 2/3

-1 < 0

1/(m^1) = 2/3 // * m^1

1 = 2/3*m^1 // : 2/3

3/2 = m^1

m = 3/2

( m+2 )

m+2 = 0 // - 2

m = -2

( m-3 )

m-3 = 0 // + 3

m = 3

m in { -2}

m in { 3}

m = 3/2

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