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Simplifying w2 + -3w + 180 = 0 Reorder the terms: 180 + -3w + w2 = 0 Solving 180 + -3w + w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-180' to each side of the equation. 180 + -3w + -180 + w2 = 0 + -180 Reorder the terms: 180 + -180 + -3w + w2 = 0 + -180 Combine like terms: 180 + -180 = 0 0 + -3w + w2 = 0 + -180 -3w + w2 = 0 + -180 Combine like terms: 0 + -180 = -180 -3w + w2 = -180 The w term is -3w. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3w + 2.25 + w2 = -180 + 2.25 Reorder the terms: 2.25 + -3w + w2 = -180 + 2.25 Combine like terms: -180 + 2.25 = -177.75 2.25 + -3w + w2 = -177.75 Factor a perfect square on the left side: (w + -1.5)(w + -1.5) = -177.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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