4(n+2)(n+5)=n*n*n

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Solution for 4(n+2)(n+5)=n*n*n equation: 


Simplifying
4(n + 2)(n + 5) = n * n * n

Reorder the terms:
4(2 + n)(n + 5) = n * n * n

Reorder the terms:
4(2 + n)(5 + n) = n * n * n

Multiply (2 + n) * (5 + n)
4(2(5 + n) + n(5 + n)) = n * n * n
4((5 * 2 + n * 2) + n(5 + n)) = n * n * n
4((10 + 2n) + n(5 + n)) = n * n * n
4(10 + 2n + (5 * n + n * n)) = n * n * n
4(10 + 2n + (5n + n2)) = n * n * n

Combine like terms: 2n + 5n = 7n
4(10 + 7n + n2) = n * n * n
(10 * 4 + 7n * 4 + n2 * 4) = n * n * n
(40 + 28n + 4n2) = n * n * n

Multiply n * n
40 + 28n + 4n2 = n2 * n

Multiply n2 * n
40 + 28n + 4n2 = n3

Solving
40 + 28n + 4n2 = n3

Solving for variable 'n'.

Combine like terms: n3 + -1n3 = 0
40 + 28n + 4n2 + -1n3 = 0

The solution to this equation could not be determined.

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