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Simplifying (6w + 5)(6w + -5) = 0 Reorder the terms: (5 + 6w)(6w + -5) = 0 Reorder the terms: (5 + 6w)(-5 + 6w) = 0 Multiply (5 + 6w) * (-5 + 6w) (5(-5 + 6w) + 6w * (-5 + 6w)) = 0 ((-5 * 5 + 6w * 5) + 6w * (-5 + 6w)) = 0 ((-25 + 30w) + 6w * (-5 + 6w)) = 0 (-25 + 30w + (-5 * 6w + 6w * 6w)) = 0 (-25 + 30w + (-30w + 36w2)) = 0 Combine like terms: 30w + -30w = 0 (-25 + 0 + 36w2) = 0 (-25 + 36w2) = 0 Solving -25 + 36w2 = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 36w2 = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 36w2 = 0 + 25 36w2 = 0 + 25 Combine like terms: 0 + 25 = 25 36w2 = 25 Divide each side by '36'. w2 = 0.6944444444 Simplifying w2 = 0.6944444444 Take the square root of each side: w = {-0.833333333, 0.833333333}
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