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

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


D( m )

m^2-4 = 0

m-2 = 0

m+2 = 0

m^2-4 = 0

m^2-4 = 0

1*m^2 = 4 // : 1

m^2 = 4

m^2 = 4 // ^ 1/2

abs(m) = 2

m = 2 or m = -2

m-2 = 0

m-2 = 0

m-2 = 0 // + 2

m = 2

m+2 = 0

m+2 = 0

m+2 = 0 // - 2

m = -2

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

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

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

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

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

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

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

5*m^3-3*m^3-2*m^2-20*m+12*m+8 = 0

2*m^3-2*m^2-8*m+8 = 0

2*m^3-2*m^2-8*m+8 = 0

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

m^3-m^2-4*m+4 = 0

{ 1, -1, 2, -2, 4, -4 }

1

m = 1

m^3-m^2-4*m+4 = 0

1

m-1

m^2-4

m^3-m^2-4*m+4

m-1

m^2-m^3

4-4*m

4*m-4

0

m^2-4 = 0

DELTA = 0^2-(-4*1*4)

DELTA = 16

DELTA > 0

m = (16^(1/2)+0)/(1*2) or m = (0-16^(1/2))/(1*2)

m = 2 or m = -2

m in { -2, 2, 1}

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

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

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

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

( m+2 )

m+2 = 0 // - 2

m = -2

( m-1 )

m-1 = 0 // + 1

m = 1

( m-2 )

m-2 = 0 // + 2

m = 2

m in { -2}

m in { 2}

m = 1

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