(w)(w+2)(3w)(16-w)=762

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Solution for (w)(w+2)(3w)(16-w)=762 equation: 


Simplifying
(w)(w + 2)(3w)(16 + -1w) = 762

Reorder the terms:
w(2 + w)(3w)(16 + -1w) = 762

Remove parenthesis around (3w)
w(2 + w) * 3w(16 + -1w) = 762

Reorder the terms for easier multiplication:
3w * w(2 + w)(16 + -1w) = 762

Multiply w * w
3w2(2 + w)(16 + -1w) = 762

Multiply (2 + w) * (16 + -1w)
3w2(2(16 + -1w) + w(16 + -1w)) = 762
3w2((16 * 2 + -1w * 2) + w(16 + -1w)) = 762
3w2((32 + -2w) + w(16 + -1w)) = 762
3w2(32 + -2w + (16 * w + -1w * w)) = 762
3w2(32 + -2w + (16w + -1w2)) = 762

Combine like terms: -2w + 16w = 14w
3w2(32 + 14w + -1w2) = 762
(32 * 3w2 + 14w * 3w2 + -1w2 * 3w2) = 762
(96w2 + 42w3 + -3w4) = 762

Solving
96w2 + 42w3 + -3w4 = 762

Solving for variable 'w'.

Reorder the terms:
-762 + 96w2 + 42w3 + -3w4 = 762 + -762

Combine like terms: 762 + -762 = 0
-762 + 96w2 + 42w3 + -3w4 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-254 + 32w2 + 14w3 + -1w4) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-254 + 32w2 + 14w3 + -1w4)' equal to zero and attempt to solve:

Simplifying
-254 + 32w2 + 14w3 + -1w4 = 0

Solving
-254 + 32w2 + 14w3 + -1w4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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