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Simplifying 5w2 = -9w + -5 Reorder the terms: 5w2 = -5 + -9w Solving 5w2 = -5 + -9w Solving for variable 'w'. Reorder the terms: 5 + 9w + 5w2 = -5 + -9w + 5 + 9w Reorder the terms: 5 + 9w + 5w2 = -5 + 5 + -9w + 9w Combine like terms: -5 + 5 = 0 5 + 9w + 5w2 = 0 + -9w + 9w 5 + 9w + 5w2 = -9w + 9w Combine like terms: -9w + 9w = 0 5 + 9w + 5w2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1 + 1.8w + w2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 1.8w + -1 + w2 = 0 + -1 Reorder the terms: 1 + -1 + 1.8w + w2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 1.8w + w2 = 0 + -1 1.8w + w2 = 0 + -1 Combine like terms: 0 + -1 = -1 1.8w + w2 = -1 The w term is 1.8w. Take half its coefficient (0.9). Square it (0.81) and add it to both sides. Add '0.81' to each side of the equation. 1.8w + 0.81 + w2 = -1 + 0.81 Reorder the terms: 0.81 + 1.8w + w2 = -1 + 0.81 Combine like terms: -1 + 0.81 = -0.19 0.81 + 1.8w + w2 = -0.19 Factor a perfect square on the left side: (w + 0.9)(w + 0.9) = -0.19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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