180n-360=(180n-360)/n

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Solution for 180n-360=(180n-360)/n equation:


D( n )

n = 0

n = 0

n = 0

n in (-oo:0) U (0:+oo)

180*n-360 = (180*n-360)/n // - (180*n-360)/n

180*n-((180*n-360)/n)-360 = 0

(-1*(180*n-360))/n+180*n-360 = 0

(-1*(180*n-360))/n+(180*n*n)/n+(-360*n)/n = 0

180*n*n-1*(180*n-360)-360*n = 0

180*n^2-180*n-360*n+360 = 0

180*n^2-540*n+360 = 0

180*n^2-540*n+360 = 0

180*(n^2-3*n+2) = 0

n^2-3*n+2 = 0

DELTA = (-3)^2-(1*2*4)

DELTA = 1

DELTA > 0

n = (1^(1/2)+3)/(1*2) or n = (3-1^(1/2))/(1*2)

n = 2 or n = 1

180*(n-1)*(n-2) = 0

(180*(n-1)*(n-2))/n = 0

(180*(n-1)*(n-2))/n = 0 // * n

180*(n-1)*(n-2) = 0

( n-1 )

n-1 = 0 // + 1

n = 1

( n-2 )

n-2 = 0 // + 2

n = 2

n in { 1, 2 }

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