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Simplifying w2 = 9(w + -3) Reorder the terms: w2 = 9(-3 + w) w2 = (-3 * 9 + w * 9) w2 = (-27 + 9w) Solving w2 = -27 + 9w Solving for variable 'w'. Reorder the terms: 27 + -9w + w2 = -27 + 9w + 27 + -9w Reorder the terms: 27 + -9w + w2 = -27 + 27 + 9w + -9w Combine like terms: -27 + 27 = 0 27 + -9w + w2 = 0 + 9w + -9w 27 + -9w + w2 = 9w + -9w Combine like terms: 9w + -9w = 0 27 + -9w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-27' to each side of the equation. 27 + -9w + -27 + w2 = 0 + -27 Reorder the terms: 27 + -27 + -9w + w2 = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -9w + w2 = 0 + -27 -9w + w2 = 0 + -27 Combine like terms: 0 + -27 = -27 -9w + w2 = -27 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 = -27 + 20.25 Reorder the terms: 20.25 + -9w + w2 = -27 + 20.25 Combine like terms: -27 + 20.25 = -6.75 20.25 + -9w + w2 = -6.75 Factor a perfect square on the left side: (w + -4.5)(w + -4.5) = -6.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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