3/(m-4)-(m+2)/((m-4)(m+1))=1/(2m+2)

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Solution for 3/(m-4)-(m+2)/((m-4)(m+1))=1/(2m+2) equation:


D( m )

(m-4)*(m+1) = 0

2*m+2 = 0

m-4 = 0

(m-4)*(m+1) = 0

(m-4)*(m+1) = 0

( m+1 )

m+1 = 0 // - 1

m = -1

( m-4 )

m-4 = 0 // + 4

m = 4

2*m+2 = 0

2*m+2 = 0

2*m+2 = 0 // - 2

2*m = -2 // : 2

m = -2/2

m = -1

m-4 = 0

m-4 = 0

m-4 = 0 // + 4

m = 4

m in (-oo:-1) U (-1:4) U (4:+oo)

3/(m-4)-((m+2)/((m-4)*(m+1))) = 1/(2*m+2) // - 1/(2*m+2)

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

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

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

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

3*(2*m+2)-1*(m+2)*(2*m+2)-1*(m-4) = 0

2-2*m^2-m+4 = 0

6-2*m^2-m = 0

6-2*m^2-m = 0

6-2*m^2-m = 0

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

DELTA = 49

DELTA > 0

m = (49^(1/2)+1)/(-2*2) or m = (1-49^(1/2))/(-2*2)

m = -2 or m = 3/2

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

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

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

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

( m+2 )

m+2 = 0 // - 2

m = -2

( m-3/2 )

m-3/2 = 0 // + 3/2

m = 3/2

m in { -2, 3/2 }

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