(2w+18)(w^2-w-20)=0

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Solution for (2w+18)(w^2-w-20)=0 equation:


Simplifying
(2w + 18)(w2 + -1w + -20) = 0

Reorder the terms:
(18 + 2w)(w2 + -1w + -20) = 0

Reorder the terms:
(18 + 2w)(-20 + -1w + w2) = 0

Multiply (18 + 2w) * (-20 + -1w + w2)
(18(-20 + -1w + w2) + 2w * (-20 + -1w + w2)) = 0
((-20 * 18 + -1w * 18 + w2 * 18) + 2w * (-20 + -1w + w2)) = 0
((-360 + -18w + 18w2) + 2w * (-20 + -1w + w2)) = 0
(-360 + -18w + 18w2 + (-20 * 2w + -1w * 2w + w2 * 2w)) = 0
(-360 + -18w + 18w2 + (-40w + -2w2 + 2w3)) = 0

Reorder the terms:
(-360 + -18w + -40w + 18w2 + -2w2 + 2w3) = 0

Combine like terms: -18w + -40w = -58w
(-360 + -58w + 18w2 + -2w2 + 2w3) = 0

Combine like terms: 18w2 + -2w2 = 16w2
(-360 + -58w + 16w2 + 2w3) = 0

Solving
-360 + -58w + 16w2 + 2w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-180 + -29w + 8w2 + w3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-180 + -29w + 8w2 + w3)' equal to zero and attempt to solve: Simplifying -180 + -29w + 8w2 + w3 = 0 Solving -180 + -29w + 8w2 + 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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