(m^2+m-6)/(m+4)

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Solution for (m^2+m-6)/(m+4) equation: 


D( m )

m+4 = 0

m+4 = 0

m+4 = 0

m+4 = 0 // - 4

m = -4

m in (-oo:-4) U (-4:+oo)

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

m^2+m-6 = 0

m^2+m-6 = 0

DELTA = 1^2-(-6*1*4)

DELTA = 25

DELTA > 0

m = (25^(1/2)-1)/(1*2) or m = (-25^(1/2)-1)/(1*2)

m = 2 or m = -3

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

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

( m+3 )

m+3 = 0 // - 3

m = -3

( m-2 )

m-2 = 0 // + 2

m = 2

m in { -3, 2 }

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