(10m^2-15m)/(14m^2-21m)

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Solution for (10m^2-15m)/(14m^2-21m) equation:


D( m )

14*m^2-(21*m) = 0

14*m^2-(21*m) = 0

14*m^2-(21*m) = 0

14*m^2-21*m = 0

14*m^2-21*m = 0

DELTA = (-21)^2-(0*4*14)

DELTA = 441

DELTA > 0

m = (441^(1/2)+21)/(2*14) or m = (21-441^(1/2))/(2*14)

m = 3/2 or m = 0

m in (-oo:0) U (0:3/2) U (3/2:+oo)

(10*m^2-(15*m))/(14*m^2-(21*m)) = 0

(10*m^2-15*m)/(14*m^2-21*m) = 0

10*m^2-15*m = 0

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

2*m-3 = 0 // + 3

2*m = 3 // : 2

m = 3/2

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

14*m^2-21*m = 0

7*m*(2*m-3) = 0

2*m-3 = 0 // + 3

2*m = 3 // : 2

m = 3/2

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

(5*m*(m-3/2))/(7*m*(m-3/2)) = 0

( 5*m )

5*m = 0 // : 5

m = 0

( m-3/2 )

m-3/2 = 0 // + 3/2

m = 3/2

m in { 0}

m in { 3/2}

m belongs to the empty set

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