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Simplifying w2 + -4w + 24 = 0 Reorder the terms: 24 + -4w + w2 = 0 Solving 24 + -4w + 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 + -4w + -24 + w2 = 0 + -24 Reorder the terms: 24 + -24 + -4w + w2 = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -4w + w2 = 0 + -24 -4w + w2 = 0 + -24 Combine like terms: 0 + -24 = -24 -4w + w2 = -24 The w term is -4w. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4w + 4 + w2 = -24 + 4 Reorder the terms: 4 + -4w + w2 = -24 + 4 Combine like terms: -24 + 4 = -20 4 + -4w + w2 = -20 Factor a perfect square on the left side: (w + -2)(w + -2) = -20 Can't calculate square root of the right side. The solution to this equation could not be determined.
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