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Simplifying w2 + -10w + 26 = 0 Reorder the terms: 26 + -10w + w2 = 0 Solving 26 + -10w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-26' to each side of the equation. 26 + -10w + -26 + w2 = 0 + -26 Reorder the terms: 26 + -26 + -10w + w2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -10w + w2 = 0 + -26 -10w + w2 = 0 + -26 Combine like terms: 0 + -26 = -26 -10w + w2 = -26 The w term is -10w. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10w + 25 + w2 = -26 + 25 Reorder the terms: 25 + -10w + w2 = -26 + 25 Combine like terms: -26 + 25 = -1 25 + -10w + w2 = -1 Factor a perfect square on the left side: (w + -5)(w + -5) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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