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Simplifying Z4 + Z2 + 12 = 0 Reorder the terms: 12 + Z2 + Z4 = 0 Solving 12 + Z2 + Z4 = 0 Solving for variable 'Z'. Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + Z2 + -12 + Z4 = 0 + -12 Reorder the terms: 12 + -12 + Z2 + Z4 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + Z2 + Z4 = 0 + -12 Z2 + Z4 = 0 + -12 Combine like terms: 0 + -12 = -12 Z2 + Z4 = -12 The Z term is Z2. 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. Z2 + 0.25 + Z4 = -12 + 0.25 Reorder the terms: 0.25 + Z2 + Z4 = -12 + 0.25 Combine like terms: -12 + 0.25 = -11.75 0.25 + Z2 + Z4 = -11.75 Factor a perfect square on the left side: (Z2 + 0.5)(Z2 + 0.5) = -11.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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