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Simplifying 5w2 + -26w + 60 = -9w Reorder the terms: 60 + -26w + 5w2 = -9w Solving 60 + -26w + 5w2 = -9w Solving for variable 'w'. Reorder the terms: 60 + -26w + 9w + 5w2 = -9w + 9w Combine like terms: -26w + 9w = -17w 60 + -17w + 5w2 = -9w + 9w Combine like terms: -9w + 9w = 0 60 + -17w + 5w2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 12 + -3.4w + w2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -3.4w + -12 + w2 = 0 + -12 Reorder the terms: 12 + -12 + -3.4w + w2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -3.4w + w2 = 0 + -12 -3.4w + w2 = 0 + -12 Combine like terms: 0 + -12 = -12 -3.4w + w2 = -12 The w term is -3.4w. Take half its coefficient (-1.7). Square it (2.89) and add it to both sides. Add '2.89' to each side of the equation. -3.4w + 2.89 + w2 = -12 + 2.89 Reorder the terms: 2.89 + -3.4w + w2 = -12 + 2.89 Combine like terms: -12 + 2.89 = -9.11 2.89 + -3.4w + w2 = -9.11 Factor a perfect square on the left side: (w + -1.7)(w + -1.7) = -9.11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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