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Simplifying 4w3 + -2w = 0 Reorder the terms: -2w + 4w3 = 0 Solving -2w + 4w3 = 0 Solving for variable 'w'. Factor out the Greatest Common Factor (GCF), '2w'. 2w(-1 + 2w2) = 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 + 2w2)' equal to zero and attempt to solve: Simplifying -1 + 2w2 = 0 Solving -1 + 2w2 = 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 + 2w2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2w2 = 0 + 1 2w2 = 0 + 1 Combine like terms: 0 + 1 = 1 2w2 = 1 Divide each side by '2'. w2 = 0.5 Simplifying w2 = 0.5 Take the square root of each side: w = {-0.707106781, 0.707106781}Solution
w = {0, -0.707106781, 0.707106781}
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