(x^3+9x^2+6x-16)=[(w)(x+2)(x+8)]

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Solution for (x^3+9x^2+6x-16)=[(w)(x+2)(x+8)] equation: 


Simplifying
(x3 + 9x2 + 6x + -16) = [(w)(x + 2)(x + 8)]

Reorder the terms:
(-16 + 6x + 9x2 + x3) = [(w)(x + 2)(x + 8)]

Remove parenthesis around (-16 + 6x + 9x2 + x3)
-16 + 6x + 9x2 + x3 = [(w)(x + 2)(x + 8)]

Reorder the terms:
-16 + 6x + 9x2 + x3 = [w(2 + x)(x + 8)]

Reorder the terms:
-16 + 6x + 9x2 + x3 = [w(2 + x)(8 + x)]

Multiply (2 + x) * (8 + x)
-16 + 6x + 9x2 + x3 = [w(2(8 + x) + x(8 + x))]
-16 + 6x + 9x2 + x3 = [w((8 * 2 + x * 2) + x(8 + x))]
-16 + 6x + 9x2 + x3 = [w((16 + 2x) + x(8 + x))]
-16 + 6x + 9x2 + x3 = [w(16 + 2x + (8 * x + x * x))]
-16 + 6x + 9x2 + x3 = [w(16 + 2x + (8x + x2))]

Combine like terms: 2x + 8x = 10x
-16 + 6x + 9x2 + x3 = [w(16 + 10x + x2)]
-16 + 6x + 9x2 + x3 = [(16 * w + 10x * w + x2 * w)]
-16 + 6x + 9x2 + x3 = [(16w + 10wx + wx2)]
-16 + 6x + 9x2 + x3 = [16w + 10wx + wx2]

Remove brackets around [16w + 10wx + wx2]
-16 + 6x + 9x2 + x3 = 16w + 10wx + wx2

Solving
-16 + 6x + 9x2 + x3 = 16w + 10wx + wx2

Solving for variable 'x'.

Reorder the terms:
-16 + -16w + -10wx + -1wx2 + 6x + 9x2 + x3 = 16w + 10wx + wx2 + -16w + -10wx + -1wx2

Reorder the terms:
-16 + -16w + -10wx + -1wx2 + 6x + 9x2 + x3 = 16w + -16w + 10wx + -10wx + wx2 + -1wx2

Combine like terms: 16w + -16w = 0
-16 + -16w + -10wx + -1wx2 + 6x + 9x2 + x3 = 0 + 10wx + -10wx + wx2 + -1wx2
-16 + -16w + -10wx + -1wx2 + 6x + 9x2 + x3 = 10wx + -10wx + wx2 + -1wx2

Combine like terms: 10wx + -10wx = 0
-16 + -16w + -10wx + -1wx2 + 6x + 9x2 + x3 = 0 + wx2 + -1wx2
-16 + -16w + -10wx + -1wx2 + 6x + 9x2 + x3 = wx2 + -1wx2

Combine like terms: wx2 + -1wx2 = 0
-16 + -16w + -10wx + -1wx2 + 6x + 9x2 + x3 = 0

The solution to this equation could not be determined.

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