w(9w^2+7)=9(w^3+7)

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Solution for w(9w^2+7)=9(w^3+7) equation:


Simplifying
w(9w2 + 7) = 9(w3 + 7)

Reorder the terms:
w(7 + 9w2) = 9(w3 + 7)
(7 * w + 9w2 * w) = 9(w3 + 7)
(7w + 9w3) = 9(w3 + 7)

Reorder the terms:
7w + 9w3 = 9(7 + w3)
7w + 9w3 = (7 * 9 + w3 * 9)
7w + 9w3 = (63 + 9w3)

Add '-9w3' to each side of the equation.
7w + 9w3 + -9w3 = 63 + 9w3 + -9w3

Combine like terms: 9w3 + -9w3 = 0
7w + 0 = 63 + 9w3 + -9w3
7w = 63 + 9w3 + -9w3

Combine like terms: 9w3 + -9w3 = 0
7w = 63 + 0
7w = 63

Solving
7w = 63

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Divide each side by '7'.
w = 9

Simplifying
w = 9

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