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Simplifying 16w2 + -12w + 9 = 0 Reorder the terms: 9 + -12w + 16w2 = 0 Solving 9 + -12w + 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'. 0.5625 + -0.75w + w2 = 0 Move the constant term to the right: Add '-0.5625' to each side of the equation. 0.5625 + -0.75w + -0.5625 + w2 = 0 + -0.5625 Reorder the terms: 0.5625 + -0.5625 + -0.75w + w2 = 0 + -0.5625 Combine like terms: 0.5625 + -0.5625 = 0.0000 0.0000 + -0.75w + w2 = 0 + -0.5625 -0.75w + w2 = 0 + -0.5625 Combine like terms: 0 + -0.5625 = -0.5625 -0.75w + w2 = -0.5625 The w term is -0.75w. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75w + 0.140625 + w2 = -0.5625 + 0.140625 Reorder the terms: 0.140625 + -0.75w + w2 = -0.5625 + 0.140625 Combine like terms: -0.5625 + 0.140625 = -0.421875 0.140625 + -0.75w + w2 = -0.421875 Factor a perfect square on the left side: (w + -0.375)(w + -0.375) = -0.421875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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