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Simplifying 16w2 + -13w + 3 = 0 Reorder the terms: 3 + -13w + 16w2 = 0 Solving 3 + -13w + 16w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.1875 + -0.8125w + w2 = 0 Move the constant term to the right: Add '-0.1875' to each side of the equation. 0.1875 + -0.8125w + -0.1875 + w2 = 0 + -0.1875 Reorder the terms: 0.1875 + -0.1875 + -0.8125w + w2 = 0 + -0.1875 Combine like terms: 0.1875 + -0.1875 = 0.0000 0.0000 + -0.8125w + w2 = 0 + -0.1875 -0.8125w + w2 = 0 + -0.1875 Combine like terms: 0 + -0.1875 = -0.1875 -0.8125w + w2 = -0.1875 The w term is -0.8125w. Take half its coefficient (-0.40625). Square it (0.1650390625) and add it to both sides. Add '0.1650390625' to each side of the equation. -0.8125w + 0.1650390625 + w2 = -0.1875 + 0.1650390625 Reorder the terms: 0.1650390625 + -0.8125w + w2 = -0.1875 + 0.1650390625 Combine like terms: -0.1875 + 0.1650390625 = -0.0224609375 0.1650390625 + -0.8125w + w2 = -0.0224609375 Factor a perfect square on the left side: (w + -0.40625)(w + -0.40625) = -0.0224609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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