(3m^2-12/4m^2+8m)/(6m-12/8m^2+16m)

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Solution for (3m^2-12/4m^2+8m)/(6m-12/8m^2+16m) equation:


D( m )

6*m-((12/8)*m^2)+16*m = 0

6*m-((12/8)*m^2)+16*m = 0

6*m-((12/8)*m^2)+16*m = 0

(-3/2)*m^2+6*m+16*m = 0

22*m-3/2*m^2 = 0

DELTA = 22^2-(-3/2*0*4)

DELTA = 484

DELTA > 0

m = (484^(1/2)-22)/(-3/2*2) or m = (-484^(1/2)-22)/(-3/2*2)

m = 0 or m = 44/3

m in (-oo:0) U (0:44/3) U (44/3:+oo)

(3*m^2-((12/4)*m^2)+8*m)/(6*m-((12/8)*m^2)+16*m) = 0

(3*m^2-3*m^2+8*m)/((-3/2)*m^2+6*m+16*m) = 0

(8*m)/(22*m-3/2*m^2) = 0

22*m-3/2*m^2 = 0

m*(22-3/2*m) = 0

22-3/2*m = 0 // - 22

-3/2*m = -22 // : -3/2

m = -22/(-3/2)

m = 44/3

m*(m-44/3) = 0

(8*m)/(m*(m-44/3)) = 0

8*m = 0 // : 8

m = 0

m in { 0}

m belongs to the empty set

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