360/m=360/(m+6)+2

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Solution for 360/m=360/(m+6)+2 equation:


D( m )

m+6 = 0

m = 0

m+6 = 0

m+6 = 0

m+6 = 0 // - 6

m = -6

m = 0

m = 0

m in (-oo:-6) U (-6:0) U (0:+oo)

360/m = 360/(m+6)+2 // - 360/(m+6)+2

360/m-(360/(m+6))-2 = 0

360/m-360*(m+6)^-1-2 = 0

360/m-360/(m+6)-2 = 0

(-360*m)/(m*(m+6))+(360*(m+6))/(m*(m+6))+(-2*m*(m+6))/(m*(m+6)) = 0

360*(m+6)-2*m*(m+6)-360*m = 0

2160-2*m^2-12*m = 0

2160-2*m^2-12*m = 0

2*(1080-m^2-6*m) = 0

1080-m^2-6*m = 0

DELTA = (-6)^2-(-1*4*1080)

DELTA = 4356

DELTA > 0

m = (4356^(1/2)+6)/(-1*2) or m = (6-4356^(1/2))/(-1*2)

m = -36 or m = 30

2*(m+36)*(m-30) = 0

(2*(m+36)*(m-30))/(m*(m+6)) = 0

(2*(m+36)*(m-30))/(m*(m+6)) = 0 // * m*(m+6)

2*(m+36)*(m-30) = 0

( m+36 )

m+36 = 0 // - 36

m = -36

( m-30 )

m-30 = 0 // + 30

m = 30

m in { -36, 30 }

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