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Simplifying w4 + w2 + 6.25 = 0 Reorder the terms: 6.25 + w2 + w4 = 0 Solving 6.25 + w2 + w4 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-6.25' to each side of the equation. 6.25 + w2 + -6.25 + w4 = 0 + -6.25 Reorder the terms: 6.25 + -6.25 + w2 + w4 = 0 + -6.25 Combine like terms: 6.25 + -6.25 = 0.00 0.00 + w2 + w4 = 0 + -6.25 w2 + w4 = 0 + -6.25 Combine like terms: 0 + -6.25 = -6.25 w2 + w4 = -6.25 The w term is w2. 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. w2 + 0.25 + w4 = -6.25 + 0.25 Reorder the terms: 0.25 + w2 + w4 = -6.25 + 0.25 Combine like terms: -6.25 + 0.25 = -6 0.25 + w2 + w4 = -6 Factor a perfect square on the left side: (w2 + 0.5)(w2 + 0.5) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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