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Simplifying 50w3 + -2w = 0 Reorder the terms: -2w + 50w3 = 0 Solving -2w + 50w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w'. 2w(-1 + 25w2) = 0 Factor a difference between two squares. 2w((1 + 5w)(-1 + 5w)) = 0 Ignore the factor 2.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 = 0Subproblem 2
Set the factor '(1 + 5w)' equal to zero and attempt to solve: Simplifying 1 + 5w = 0 Solving 1 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5w = 0 + -1 5w = 0 + -1 Combine like terms: 0 + -1 = -1 5w = -1 Divide each side by '5'. w = -0.2 Simplifying w = -0.2Subproblem 3
Set the factor '(-1 + 5w)' equal to zero and attempt to solve: Simplifying -1 + 5w = 0 Solving -1 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5w = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5w = 0 + 1 5w = 0 + 1 Combine like terms: 0 + 1 = 1 5w = 1 Divide each side by '5'. w = 0.2 Simplifying w = 0.2Solution
w = {0, -0.2, 0.2}
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