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Simplifying w2 + 5kw + 4w2 = 0 Reorder the terms: 5kw + w2 + 4w2 = 0 Combine like terms: w2 + 4w2 = 5w2 5kw + 5w2 = 0 Solving 5kw + 5w2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5w2' to each side of the equation. 5kw + 5w2 + -5w2 = 0 + -5w2 Combine like terms: 5w2 + -5w2 = 0 5kw + 0 = 0 + -5w2 5kw = 0 + -5w2 Remove the zero: 5kw = -5w2 Divide each side by '5w'. k = -1w Simplifying k = -1w
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