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Simplifying (7w2 + -3w + -4) + (2w2 + -1w + 6) = 0 Reorder the terms: (-4 + -3w + 7w2) + (2w2 + -1w + 6) = 0 Remove parenthesis around (-4 + -3w + 7w2) -4 + -3w + 7w2 + (2w2 + -1w + 6) = 0 Reorder the terms: -4 + -3w + 7w2 + (6 + -1w + 2w2) = 0 Remove parenthesis around (6 + -1w + 2w2) -4 + -3w + 7w2 + 6 + -1w + 2w2 = 0 Reorder the terms: -4 + 6 + -3w + -1w + 7w2 + 2w2 = 0 Combine like terms: -4 + 6 = 2 2 + -3w + -1w + 7w2 + 2w2 = 0 Combine like terms: -3w + -1w = -4w 2 + -4w + 7w2 + 2w2 = 0 Combine like terms: 7w2 + 2w2 = 9w2 2 + -4w + 9w2 = 0 Solving 2 + -4w + 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'. 0.2222222222 + -0.4444444444w + w2 = 0 Move the constant term to the right: Add '-0.2222222222' to each side of the equation. 0.2222222222 + -0.4444444444w + -0.2222222222 + w2 = 0 + -0.2222222222 Reorder the terms: 0.2222222222 + -0.2222222222 + -0.4444444444w + w2 = 0 + -0.2222222222 Combine like terms: 0.2222222222 + -0.2222222222 = 0.0000000000 0.0000000000 + -0.4444444444w + w2 = 0 + -0.2222222222 -0.4444444444w + w2 = 0 + -0.2222222222 Combine like terms: 0 + -0.2222222222 = -0.2222222222 -0.4444444444w + w2 = -0.2222222222 The w term is -0.4444444444w. Take half its coefficient (-0.2222222222). Square it (0.04938271604) and add it to both sides. Add '0.04938271604' to each side of the equation. -0.4444444444w + 0.04938271604 + w2 = -0.2222222222 + 0.04938271604 Reorder the terms: 0.04938271604 + -0.4444444444w + w2 = -0.2222222222 + 0.04938271604 Combine like terms: -0.2222222222 + 0.04938271604 = -0.17283950616 0.04938271604 + -0.4444444444w + w2 = -0.17283950616 Factor a perfect square on the left side: (w + -0.2222222222)(w + -0.2222222222) = -0.17283950616 Can't calculate square root of the right side. The solution to this equation could not be determined.
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