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Simplifying 20 = (w)(5w) Remove parenthesis around (5w) 20 = w * 5w Reorder the terms for easier multiplication: 20 = 5w * w Multiply w * w 20 = 5w2 Solving 20 = 5w2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w2' to each side of the equation. 20 + -5w2 = 5w2 + -5w2 Combine like terms: 5w2 + -5w2 = 0 20 + -5w2 = 0 Add '-20' to each side of the equation. 20 + -20 + -5w2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -5w2 = 0 + -20 -5w2 = 0 + -20 Combine like terms: 0 + -20 = -20 -5w2 = -20 Divide each side by '-5'. w2 = 4 Simplifying w2 = 4 Take the square root of each side: w = {-2, 2}
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