(m-3)/m=8/(m+3)

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Solution for (m-3)/m=8/(m+3) equation: 


D( m )

m = 0

m+3 = 0

m = 0

m = 0

m+3 = 0

m+3 = 0

m+3 = 0 // - 3

m = -3

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

(m-3)/m = 8/(m+3) // - 8/(m+3)

(m-3)/m-(8/(m+3)) = 0

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

(m-3)/m-8/(m+3) = 0

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

(m-3)*(m+3)-8*m = 0

m^2-8*m-9 = 0

m^2-8*m-9 = 0

m^2-8*m-9 = 0

DELTA = (-8)^2-(-9*1*4)

DELTA = 100

DELTA > 0

m = (100^(1/2)+8)/(1*2) or m = (8-100^(1/2))/(1*2)

m = 9 or m = -1

(m+1)*(m-9) = 0

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

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

(m+1)*(m-9) = 0

( m+1 )

m+1 = 0 // - 1

m = -1

( m-9 )

m-9 = 0 // + 9

m = 9

m in { -1, 9 }

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