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Simplifying (5w2 + -7w + 6) + (-4w2 + 2w + 3) = 0 Reorder the terms: (6 + -7w + 5w2) + (-4w2 + 2w + 3) = 0 Remove parenthesis around (6 + -7w + 5w2) 6 + -7w + 5w2 + (-4w2 + 2w + 3) = 0 Reorder the terms: 6 + -7w + 5w2 + (3 + 2w + -4w2) = 0 Remove parenthesis around (3 + 2w + -4w2) 6 + -7w + 5w2 + 3 + 2w + -4w2 = 0 Reorder the terms: 6 + 3 + -7w + 2w + 5w2 + -4w2 = 0 Combine like terms: 6 + 3 = 9 9 + -7w + 2w + 5w2 + -4w2 = 0 Combine like terms: -7w + 2w = -5w 9 + -5w + 5w2 + -4w2 = 0 Combine like terms: 5w2 + -4w2 = 1w2 9 + -5w + 1w2 = 0 Solving 9 + -5w + 1w2 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -5w + -9 + w2 = 0 + -9 Reorder the terms: 9 + -9 + -5w + w2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5w + w2 = 0 + -9 -5w + w2 = 0 + -9 Combine like terms: 0 + -9 = -9 -5w + w2 = -9 The w term is -5w. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5w + 6.25 + w2 = -9 + 6.25 Reorder the terms: 6.25 + -5w + w2 = -9 + 6.25 Combine like terms: -9 + 6.25 = -2.75 6.25 + -5w + w2 = -2.75 Factor a perfect square on the left side: (w + -2.5)(w + -2.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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