5*w=w*w*w

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Solution for 5*w=w*w*w equation:


Simplifying
5w = w * w * w

Multiply w * w
5w = w2 * w

Multiply w2 * w
5w = w3

Solving
5w = w3

Solving for variable 'w'.

Combine like terms: w3 + -1w3 = 0
5w + -1w3 = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(5 + -1w2) = 0


Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0

Subproblem 2
Set the factor '(5 + -1w2)' equal to zero and attempt to solve:

Simplifying
5 + -1w2 = 0

Solving
5 + -1w2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1w2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1w2 = 0 + -5
-1w2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1w2 = -5

Divide each side by '-1'.
w2 = 5

Simplifying
w2 = 5

Take the square root of each side:
w = {-2.236067978, 2.236067978}
Solution
w = {0, -2.236067978, 2.236067978}

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