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Simplifying w2 + -9w + 84 = 0 Reorder the terms: 84 + -9w + w2 = 0 Solving 84 + -9w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-84' to each side of the equation. 84 + -9w + -84 + w2 = 0 + -84 Reorder the terms: 84 + -84 + -9w + w2 = 0 + -84 Combine like terms: 84 + -84 = 0 0 + -9w + w2 = 0 + -84 -9w + w2 = 0 + -84 Combine like terms: 0 + -84 = -84 -9w + w2 = -84 The w term is -9w. Take half its coefficient (-4.5). Square it (20.25) and add it to both sides. Add '20.25' to each side of the equation. -9w + 20.25 + w2 = -84 + 20.25 Reorder the terms: 20.25 + -9w + w2 = -84 + 20.25 Combine like terms: -84 + 20.25 = -63.75 20.25 + -9w + w2 = -63.75 Factor a perfect square on the left side: (w + -4.5)(w + -4.5) = -63.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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