360=N/2(12+6N)

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Solution for 360=N/2(12+6N) equation: 


N in (-oo:+oo)

360 = (N/2)*(6*N+12) // - (N/2)*(6*N+12)

360-((N/2)*(6*N+12)) = 0

360-1*1/2*N*(6*N+12) = 0

360-1*1/2*N*(6*N+12) = 0

360-3*N^2-6*N = 0

360-3*N^2-6*N = 0

3*(120-N^2-2*N) = 0

120-N^2-2*N = 0

DELTA = (-2)^2-(-1*4*120)

DELTA = 484

DELTA > 0

N = (484^(1/2)+2)/(-1*2) or N = (2-484^(1/2))/(-1*2)

N = -12 or N = 10

3*(N+12)*(N-10) = 0

3*(N+12)*(N-10) = 0

( N+12 )

N+12 = 0 // - 12

N = -12

( N-10 )

N-10 = 0 // + 10

N = 10

N in { -12, 10 }

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