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Simplifying 4w2 + 3w + 5 + -3w2 + -4w + -5 = -1 Reorder the terms: 5 + -5 + 3w + -4w + 4w2 + -3w2 = -1 Combine like terms: 5 + -5 = 0 0 + 3w + -4w + 4w2 + -3w2 = -1 3w + -4w + 4w2 + -3w2 = -1 Combine like terms: 3w + -4w = -1w -1w + 4w2 + -3w2 = -1 Combine like terms: 4w2 + -3w2 = 1w2 -1w + 1w2 = -1 Solving -1w + 1w2 = -1 Solving for variable 'w'. Reorder the terms: 1 + -1w + 1w2 = -1 + 1 Combine like terms: -1 + 1 = 0 1 + -1w + 1w2 = 0 Begin completing the square. Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1w + -1 + w2 = 0 + -1 Reorder the terms: 1 + -1 + -1w + w2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1w + w2 = 0 + -1 -1w + w2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1w + w2 = -1 The w term is -1w. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1w + 0.25 + w2 = -1 + 0.25 Reorder the terms: 0.25 + -1w + w2 = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 0.25 + -1w + w2 = -0.75 Factor a perfect square on the left side: (w + -0.5)(w + -0.5) = -0.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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