5/(m-2)=3/(m^2+2m-8)-2/(m+4)

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Solution for 5/(m-2)=3/(m^2+2m-8)-2/(m+4) equation: 


D( m )

m+4 = 0

m-2 = 0

m^2+2*m-8 = 0

m+4 = 0

m+4 = 0

m+4 = 0 // - 4

m = -4

m-2 = 0

m-2 = 0

m-2 = 0 // + 2

m = 2

m^2+2*m-8 = 0

m^2+2*m-8 = 0

m^2+2*m-8 = 0

DELTA = 2^2-(-8*1*4)

DELTA = 36

DELTA > 0

m = (36^(1/2)-2)/(1*2) or m = (-36^(1/2)-2)/(1*2)

m = 2 or m = -4

m in (-oo:-4) U (-4:2) U (2:+oo)

5/(m-2) = 3/(m^2+2*m-8)-(2/(m+4)) // - 3/(m^2+2*m-8)-(2/(m+4))

5/(m-2)-(3/(m^2+2*m-8))+2/(m+4) = 0

5/(m-2)-3*(m^2+2*m-8)^-1+2/(m+4) = 0

5/(m-2)-3/(m^2+2*m-8)+2/(m+4) = 0

m^2+2*m-8 = 0

m^2+2*m-8 = 0

m^2+2*m-8 = 0

DELTA = 2^2-(-8*1*4)

DELTA = 36

DELTA > 0

m = (36^(1/2)-2)/(1*2) or m = (-36^(1/2)-2)/(1*2)

m = 2 or m = -4

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

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

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

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

5*m+2*m-4+17 = 0

7*m+13 = 0

(7*m+13)/((m-2)*(m+4)) = 0

(7*m+13)/((m-2)*(m+4)) = 0 // * (m-2)*(m+4)

7*m+13 = 0

7*m+13 = 0 // - 13

7*m = -13 // : 7

m = -13/7

m = -13/7

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