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Simplifying 50w3 + -8w = 0 Reorder the terms: -8w + 50w3 = 0 Solving -8w + 50w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w'. 2w(-4 + 25w2) = 0 Factor a difference between two squares. 2w((2 + 5w)(-2 + 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 '(2 + 5w)' equal to zero and attempt to solve: Simplifying 2 + 5w = 0 Solving 2 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5w = 0 + -2 5w = 0 + -2 Combine like terms: 0 + -2 = -2 5w = -2 Divide each side by '5'. w = -0.4 Simplifying w = -0.4Subproblem 3
Set the factor '(-2 + 5w)' equal to zero and attempt to solve: Simplifying -2 + 5w = 0 Solving -2 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5w = 0 + 2 5w = 0 + 2 Combine like terms: 0 + 2 = 2 5w = 2 Divide each side by '5'. w = 0.4 Simplifying w = 0.4Solution
w = {0, -0.4, 0.4}
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