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Simplifying 5w2 + -9w + 15 = 0 Reorder the terms: 15 + -9w + 5w2 = 0 Solving 15 + -9w + 5w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 3 + -1.8w + w2 = 0 Move the constant term to the right: Add '-3' to each side of the equation. 3 + -1.8w + -3 + w2 = 0 + -3 Reorder the terms: 3 + -3 + -1.8w + w2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1.8w + w2 = 0 + -3 -1.8w + w2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1.8w + w2 = -3 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 = -3 + 0.81 Reorder the terms: 0.81 + -1.8w + w2 = -3 + 0.81 Combine like terms: -3 + 0.81 = -2.19 0.81 + -1.8w + w2 = -2.19 Factor a perfect square on the left side: (w + -0.9)(w + -0.9) = -2.19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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