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Simplifying w2 = 9(w + -5) Reorder the terms: w2 = 9(-5 + w) w2 = (-5 * 9 + w * 9) w2 = (-45 + 9w) Solving w2 = -45 + 9w Solving for variable 'w'. Reorder the terms: 45 + -9w + w2 = -45 + 9w + 45 + -9w Reorder the terms: 45 + -9w + w2 = -45 + 45 + 9w + -9w Combine like terms: -45 + 45 = 0 45 + -9w + w2 = 0 + 9w + -9w 45 + -9w + w2 = 9w + -9w Combine like terms: 9w + -9w = 0 45 + -9w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-45' to each side of the equation. 45 + -9w + -45 + w2 = 0 + -45 Reorder the terms: 45 + -45 + -9w + w2 = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -9w + w2 = 0 + -45 -9w + w2 = 0 + -45 Combine like terms: 0 + -45 = -45 -9w + w2 = -45 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 = -45 + 20.25 Reorder the terms: 20.25 + -9w + w2 = -45 + 20.25 Combine like terms: -45 + 20.25 = -24.75 20.25 + -9w + w2 = -24.75 Factor a perfect square on the left side: (w + -4.5)(w + -4.5) = -24.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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