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Simplifying (5w2 + -3w + 6) + (4w2 + 2w + 7) = 0 Reorder the terms: (6 + -3w + 5w2) + (4w2 + 2w + 7) = 0 Remove parenthesis around (6 + -3w + 5w2) 6 + -3w + 5w2 + (4w2 + 2w + 7) = 0 Reorder the terms: 6 + -3w + 5w2 + (7 + 2w + 4w2) = 0 Remove parenthesis around (7 + 2w + 4w2) 6 + -3w + 5w2 + 7 + 2w + 4w2 = 0 Reorder the terms: 6 + 7 + -3w + 2w + 5w2 + 4w2 = 0 Combine like terms: 6 + 7 = 13 13 + -3w + 2w + 5w2 + 4w2 = 0 Combine like terms: -3w + 2w = -1w 13 + -1w + 5w2 + 4w2 = 0 Combine like terms: 5w2 + 4w2 = 9w2 13 + -1w + 9w2 = 0 Solving 13 + -1w + 9w2 = 0 Solving for variable 'w'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.444444444 + -0.1111111111w + w2 = 0 Move the constant term to the right: Add '-1.444444444' to each side of the equation. 1.444444444 + -0.1111111111w + -1.444444444 + w2 = 0 + -1.444444444 Reorder the terms: 1.444444444 + -1.444444444 + -0.1111111111w + w2 = 0 + -1.444444444 Combine like terms: 1.444444444 + -1.444444444 = 0.000000000 0.000000000 + -0.1111111111w + w2 = 0 + -1.444444444 -0.1111111111w + w2 = 0 + -1.444444444 Combine like terms: 0 + -1.444444444 = -1.444444444 -0.1111111111w + w2 = -1.444444444 The w term is -0.1111111111w. Take half its coefficient (-0.05555555555). Square it (0.003086419752) and add it to both sides. Add '0.003086419752' to each side of the equation. -0.1111111111w + 0.003086419752 + w2 = -1.444444444 + 0.003086419752 Reorder the terms: 0.003086419752 + -0.1111111111w + w2 = -1.444444444 + 0.003086419752 Combine like terms: -1.444444444 + 0.003086419752 = -1.441358024248 0.003086419752 + -0.1111111111w + w2 = -1.441358024248 Factor a perfect square on the left side: (w + -0.05555555555)(w + -0.05555555555) = -1.441358024248 Can't calculate square root of the right side. The solution to this equation could not be determined.
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