(7w+14)(w^2-10w+24)=w

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Solution for (7w+14)(w^2-10w+24)=w equation: 


Simplifying
(7w + 14)(w2 + -10w + 24) = w

Reorder the terms:
(14 + 7w)(w2 + -10w + 24) = w

Reorder the terms:
(14 + 7w)(24 + -10w + w2) = w

Multiply (14 + 7w) * (24 + -10w + w2)
(14(24 + -10w + w2) + 7w * (24 + -10w + w2)) = w
((24 * 14 + -10w * 14 + w2 * 14) + 7w * (24 + -10w + w2)) = w
((336 + -140w + 14w2) + 7w * (24 + -10w + w2)) = w
(336 + -140w + 14w2 + (24 * 7w + -10w * 7w + w2 * 7w)) = w
(336 + -140w + 14w2 + (168w + -70w2 + 7w3)) = w

Reorder the terms:
(336 + -140w + 168w + 14w2 + -70w2 + 7w3) = w

Combine like terms: -140w + 168w = 28w
(336 + 28w + 14w2 + -70w2 + 7w3) = w

Combine like terms: 14w2 + -70w2 = -56w2
(336 + 28w + -56w2 + 7w3) = w

Solving
336 + 28w + -56w2 + 7w3 = w

Solving for variable 'w'.

Reorder the terms:
336 + 28w + -1w + -56w2 + 7w3 = w + -1w

Combine like terms: 28w + -1w = 27w
336 + 27w + -56w2 + 7w3 = w + -1w

Combine like terms: w + -1w = 0
336 + 27w + -56w2 + 7w3 = 0

The solution to this equation could not be determined.

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