(2w-16)(w^2+6w-7)=0

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Solution for (2w-16)(w^2+6w-7)=0 equation:


Simplifying
(2w + -16)(w2 + 6w + -7) = 0

Reorder the terms:
(-16 + 2w)(w2 + 6w + -7) = 0

Reorder the terms:
(-16 + 2w)(-7 + 6w + w2) = 0

Multiply (-16 + 2w) * (-7 + 6w + w2)
(-16(-7 + 6w + w2) + 2w * (-7 + 6w + w2)) = 0
((-7 * -16 + 6w * -16 + w2 * -16) + 2w * (-7 + 6w + w2)) = 0
((112 + -96w + -16w2) + 2w * (-7 + 6w + w2)) = 0
(112 + -96w + -16w2 + (-7 * 2w + 6w * 2w + w2 * 2w)) = 0
(112 + -96w + -16w2 + (-14w + 12w2 + 2w3)) = 0

Reorder the terms:
(112 + -96w + -14w + -16w2 + 12w2 + 2w3) = 0

Combine like terms: -96w + -14w = -110w
(112 + -110w + -16w2 + 12w2 + 2w3) = 0

Combine like terms: -16w2 + 12w2 = -4w2
(112 + -110w + -4w2 + 2w3) = 0

Solving
112 + -110w + -4w2 + 2w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(56 + -55w + -2w2 + w3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(56 + -55w + -2w2 + w3)' equal to zero and attempt to solve: Simplifying 56 + -55w + -2w2 + w3 = 0 Solving 56 + -55w + -2w2 + 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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