w(7+w)(2w-2)-1680=0

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Solution for w(7+w)(2w-2)-1680=0 equation: 


Simplifying
w(7 + w)(2w + -2) + -1680 = 0

Reorder the terms:
w(7 + w)(-2 + 2w) + -1680 = 0

Multiply (7 + w) * (-2 + 2w)
w(7(-2 + 2w) + w(-2 + 2w)) + -1680 = 0
w((-2 * 7 + 2w * 7) + w(-2 + 2w)) + -1680 = 0
w((-14 + 14w) + w(-2 + 2w)) + -1680 = 0
w(-14 + 14w + (-2 * w + 2w * w)) + -1680 = 0
w(-14 + 14w + (-2w + 2w2)) + -1680 = 0

Combine like terms: 14w + -2w = 12w
w(-14 + 12w + 2w2) + -1680 = 0
(-14 * w + 12w * w + 2w2 * w) + -1680 = 0
(-14w + 12w2 + 2w3) + -1680 = 0

Reorder the terms:
-1680 + -14w + 12w2 + 2w3 = 0

Solving
-1680 + -14w + 12w2 + 2w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-840 + -7w + 6w2 + w3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-840 + -7w + 6w2 + w3)' equal to zero and attempt to solve:

Simplifying
-840 + -7w + 6w2 + w3 = 0

Solving
-840 + -7w + 6w2 + w3 = 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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