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Simplifying w(w + -2) = -5 Reorder the terms: w(-2 + w) = -5 (-2 * w + w * w) = -5 (-2w + w2) = -5 Solving -2w + w2 = -5 Solving for variable 'w'. Reorder the terms: 5 + -2w + w2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + -2w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + -2w + -5 + w2 = 0 + -5 Reorder the terms: 5 + -5 + -2w + w2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2w + w2 = 0 + -5 -2w + w2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2w + w2 = -5 The w term is -2w. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2w + 1 + w2 = -5 + 1 Reorder the terms: 1 + -2w + w2 = -5 + 1 Combine like terms: -5 + 1 = -4 1 + -2w + w2 = -4 Factor a perfect square on the left side: (w + -1)(w + -1) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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