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

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


D( m )

2*m+4 = 0

m+2 = 0

2*m+4 = 0

2*m+4 = 0

2*m+4 = 0 // - 4

2*m = -4 // : 2

m = -4/2

m = -2

m+2 = 0

m+2 = 0

m+2 = 0 // - 2

m = -2

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

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

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

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

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

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

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

4*m^2+m+16*m+2+16 = 0

4*m^2+17*m+18 = 0

4*m^2+17*m+18 = 0

4*m^2+17*m+18 = 0

DELTA = 17^2-(4*4*18)

DELTA = 1

DELTA > 0

m = (1^(1/2)-17)/(2*4) or m = (-1^(1/2)-17)/(2*4)

m = -2 or m = -9/4

(m+9/4)*(m+2) = 0

((m+9/4)*(m+2))/((2*m+4)*(m+2)) = 0

((m+9/4)*(m+2))/((2*m+4)*(m+2)) = 0 // * (2*m+4)*(m+2)

(m+9/4)*(m+2) = 0

( m+2 )

m+2 = 0 // - 2

m = -2

( m+9/4 )

m+9/4 = 0 // - 9/4

m = -9/4

m in { -2} 

m = -9/4

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