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Simplifying w2 = -2w + -8 Reorder the terms: w2 = -8 + -2w Solving w2 = -8 + -2w Solving for variable 'w'. Reorder the terms: 8 + 2w + w2 = -8 + -2w + 8 + 2w Reorder the terms: 8 + 2w + w2 = -8 + 8 + -2w + 2w Combine like terms: -8 + 8 = 0 8 + 2w + w2 = 0 + -2w + 2w 8 + 2w + w2 = -2w + 2w Combine like terms: -2w + 2w = 0 8 + 2w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + 2w + -8 + w2 = 0 + -8 Reorder the terms: 8 + -8 + 2w + w2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2w + w2 = 0 + -8 2w + w2 = 0 + -8 Combine like terms: 0 + -8 = -8 2w + w2 = -8 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 = -8 + 1 Reorder the terms: 1 + 2w + w2 = -8 + 1 Combine like terms: -8 + 1 = -7 1 + 2w + w2 = -7 Factor a perfect square on the left side: (w + 1)(w + 1) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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