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Simplifying w2 + -7w + 24 = 0 Reorder the terms: 24 + -7w + w2 = 0 Solving 24 + -7w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-24' to each side of the equation. 24 + -7w + -24 + w2 = 0 + -24 Reorder the terms: 24 + -24 + -7w + w2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -7w + w2 = 0 + -24 -7w + w2 = 0 + -24 Combine like terms: 0 + -24 = -24 -7w + w2 = -24 The w term is -7w. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7w + 12.25 + w2 = -24 + 12.25 Reorder the terms: 12.25 + -7w + w2 = -24 + 12.25 Combine like terms: -24 + 12.25 = -11.75 12.25 + -7w + w2 = -11.75 Factor a perfect square on the left side: (w + -3.5)(w + -3.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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