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Simplifying w4 + 3w2 + 10000 = 0 Reorder the terms: 10000 + 3w2 + w4 = 0 Solving 10000 + 3w2 + w4 = 0 Solving for variable 'w'. Begin completing the square. Move the constant term to the right: Add '-10000' to each side of the equation. 10000 + 3w2 + -10000 + w4 = 0 + -10000 Reorder the terms: 10000 + -10000 + 3w2 + w4 = 0 + -10000 Combine like terms: 10000 + -10000 = 0 0 + 3w2 + w4 = 0 + -10000 3w2 + w4 = 0 + -10000 Combine like terms: 0 + -10000 = -10000 3w2 + w4 = -10000 The w term is 3w2. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3w2 + 2.25 + w4 = -10000 + 2.25 Reorder the terms: 2.25 + 3w2 + w4 = -10000 + 2.25 Combine like terms: -10000 + 2.25 = -9997.75 2.25 + 3w2 + w4 = -9997.75 Factor a perfect square on the left side: (w2 + 1.5)(w2 + 1.5) = -9997.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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