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Simplifying 16w2 + -5w + 1 = 0 Reorder the terms: 1 + -5w + 16w2 = 0 Solving 1 + -5w + 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'. 0.0625 + -0.3125w + w2 = 0 Move the constant term to the right: Add '-0.0625' to each side of the equation. 0.0625 + -0.3125w + -0.0625 + w2 = 0 + -0.0625 Reorder the terms: 0.0625 + -0.0625 + -0.3125w + w2 = 0 + -0.0625 Combine like terms: 0.0625 + -0.0625 = 0.0000 0.0000 + -0.3125w + w2 = 0 + -0.0625 -0.3125w + w2 = 0 + -0.0625 Combine like terms: 0 + -0.0625 = -0.0625 -0.3125w + w2 = -0.0625 The w term is -0.3125w. Take half its coefficient (-0.15625). Square it (0.0244140625) and add it to both sides. Add '0.0244140625' to each side of the equation. -0.3125w + 0.0244140625 + w2 = -0.0625 + 0.0244140625 Reorder the terms: 0.0244140625 + -0.3125w + w2 = -0.0625 + 0.0244140625 Combine like terms: -0.0625 + 0.0244140625 = -0.0380859375 0.0244140625 + -0.3125w + w2 = -0.0380859375 Factor a perfect square on the left side: (w + -0.15625)(w + -0.15625) = -0.0380859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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