m/3(m+1)=3

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


m in (-oo:+oo)

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

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

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

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

1/3*m^2+1/3*m-3 = 0

1/3*m^2+1/3*m-3 = 0

1/3*m^2+1/3*m-3 = 0

DELTA = (1/3)^2-(-3*1/3*4)

DELTA = 37/9

DELTA > 0

m = ((37/9)^(1/2)-1/3)/(1/3*2) or m = (-(37/9)^(1/2)-1/3)/(1/3*2)

m = 3/2*((37/9)^(1/2)-1/3) or m = -3/2*((37/9)^(1/2)+1/3)

(m+3/2*((37/9)^(1/2)+1/3))*(m-3/2*((37/9)^(1/2)-1/3)) = 0

(m+3/2*((37/9)^(1/2)+1/3))*(m-3/2*((37/9)^(1/2)-1/3)) = 0

( m+3/2*((37/9)^(1/2)+1/3) )

m+3/2*((37/9)^(1/2)+1/3) = 0 // - 3/2*((37/9)^(1/2)+1/3)

m = -(3/2*((37/9)^(1/2)+1/3))

m = -3/2*((37/9)^(1/2)+1/3)

( m-3/2*((37/9)^(1/2)-1/3) )

m-3/2*((37/9)^(1/2)-1/3) = 0 // + -3/2*((37/9)^(1/2)-1/3)

m = -(-3/2*((37/9)^(1/2)-1/3))

m = 3/2*((37/9)^(1/2)-1/3)

m in { -3/2*((37/9)^(1/2)+1/3), 3/2*((37/9)^(1/2)-1/3) }

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