2112=w(w+1)(w+5)

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Solution for 2112=w(w+1)(w+5) equation: 


Simplifying
2112 = w(w + 1)(w + 5)

Reorder the terms:
2112 = w(1 + w)(w + 5)

Reorder the terms:
2112 = w(1 + w)(5 + w)

Multiply (1 + w) * (5 + w)
2112 = w(1(5 + w) + w(5 + w))
2112 = w((5 * 1 + w * 1) + w(5 + w))
2112 = w((5 + 1w) + w(5 + w))
2112 = w(5 + 1w + (5 * w + w * w))
2112 = w(5 + 1w + (5w + w2))

Combine like terms: 1w + 5w = 6w
2112 = w(5 + 6w + w2)
2112 = (5 * w + 6w * w + w2 * w)
2112 = (5w + 6w2 + w3)

Solving
2112 = 5w + 6w2 + w3

Solving for variable 'w'.

Reorder the terms:
2112 + -5w + -6w2 + -1w3 = 5w + -5w + 6w2 + -6w2 + w3 + -1w3

Combine like terms: 5w + -5w = 0
2112 + -5w + -6w2 + -1w3 = 0 + 6w2 + -6w2 + w3 + -1w3
2112 + -5w + -6w2 + -1w3 = 6w2 + -6w2 + w3 + -1w3

Combine like terms: 6w2 + -6w2 = 0
2112 + -5w + -6w2 + -1w3 = 0 + w3 + -1w3
2112 + -5w + -6w2 + -1w3 = w3 + -1w3

Combine like terms: w3 + -1w3 = 0
2112 + -5w + -6w2 + -1w3 = 0

The solution to this equation could not be determined.

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