5w=w^3

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Solution for 5w=w^3 equation:


Simplifying
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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