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Simplifying w2 + -4w = -23 Reorder the terms: -4w + w2 = -23 Solving -4w + w2 = -23 Solving for variable 'w'. Reorder the terms: 23 + -4w + w2 = -23 + 23 Combine like terms: -23 + 23 = 0 23 + -4w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-23' to each side of the equation. 23 + -4w + -23 + w2 = 0 + -23 Reorder the terms: 23 + -23 + -4w + w2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -4w + w2 = 0 + -23 -4w + w2 = 0 + -23 Combine like terms: 0 + -23 = -23 -4w + w2 = -23 The w term is -4w. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4w + 4 + w2 = -23 + 4 Reorder the terms: 4 + -4w + w2 = -23 + 4 Combine like terms: -23 + 4 = -19 4 + -4w + w2 = -19 Factor a perfect square on the left side: (w + -2)(w + -2) = -19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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