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Simplifying 5w2 + -6w + 17 = 8 Reorder the terms: 17 + -6w + 5w2 = 8 Solving 17 + -6w + 5w2 = 8 Solving for variable 'w'. Reorder the terms: 17 + -8 + -6w + 5w2 = 8 + -8 Combine like terms: 17 + -8 = 9 9 + -6w + 5w2 = 8 + -8 Combine like terms: 8 + -8 = 0 9 + -6w + 5w2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1.8 + -1.2w + w2 = 0 Move the constant term to the right: Add '-1.8' to each side of the equation. 1.8 + -1.2w + -1.8 + w2 = 0 + -1.8 Reorder the terms: 1.8 + -1.8 + -1.2w + w2 = 0 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -1.2w + w2 = 0 + -1.8 -1.2w + w2 = 0 + -1.8 Combine like terms: 0 + -1.8 = -1.8 -1.2w + w2 = -1.8 The w term is -1.2w. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2w + 0.36 + w2 = -1.8 + 0.36 Reorder the terms: 0.36 + -1.2w + w2 = -1.8 + 0.36 Combine like terms: -1.8 + 0.36 = -1.44 0.36 + -1.2w + w2 = -1.44 Factor a perfect square on the left side: (w + -0.6)(w + -0.6) = -1.44 Can't calculate square root of the right side. The solution to this equation could not be determined.
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