(4m^3-4m^2-5m)/(2m+3)

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Solution for (4m^3-4m^2-5m)/(2m+3) equation: 


D( m )

2*m+3 = 0

2*m+3 = 0

2*m+3 = 0

2*m+3 = 0 // - 3

2*m = -3 // : 2

m = -3/2

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

(4*m^3-(4*m^2)-(5*m))/(2*m+3) = 0

(4*m^3-4*m^2-5*m)/(2*m+3) = 0

4*m^3-4*m^2-5*m = 0

m*(4*m^2-4*m-5) = 0

4*m^2-4*m-5 = 0

DELTA = (-4)^2-(-5*4*4)

DELTA = 96

DELTA > 0

m = (96^(1/2)+4)/(2*4) or m = (4-96^(1/2))/(2*4)

m = (4*6^(1/2)+4)/8 or m = (4-4*6^(1/2))/8

m*(m-((4-4*6^(1/2))/8))*(m-((4*6^(1/2)+4)/8)) = 0

(m*(m-((4-4*6^(1/2))/8))*(m-((4*6^(1/2)+4)/8)))/(2*m+3) = 0

( m-((4*6^(1/2)+4)/8) )

m-((4*6^(1/2)+4)/8) = 0 // + (4*6^(1/2)+4)/8

m = (4*6^(1/2)+4)/8

( m-((4-4*6^(1/2))/8) )

m-((4-4*6^(1/2))/8) = 0 // + (4-4*6^(1/2))/8

m = (4-4*6^(1/2))/8

( m )

m = 0

m in { (4*6^(1/2)+4)/8, (4-4*6^(1/2))/8, 0 }

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