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Simplifying w2 + -8w + 56 = 0 Reorder the terms: 56 + -8w + w2 = 0 Solving 56 + -8w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-56' to each side of the equation. 56 + -8w + -56 + w2 = 0 + -56 Reorder the terms: 56 + -56 + -8w + w2 = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -8w + w2 = 0 + -56 -8w + w2 = 0 + -56 Combine like terms: 0 + -56 = -56 -8w + w2 = -56 The w term is -8w. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8w + 16 + w2 = -56 + 16 Reorder the terms: 16 + -8w + w2 = -56 + 16 Combine like terms: -56 + 16 = -40 16 + -8w + w2 = -40 Factor a perfect square on the left side: (w + -4)(w + -4) = -40 Can't calculate square root of the right side. The solution to this equation could not be determined.
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