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Simplifying z2 + 4z + 13 = 0 Reorder the terms: 13 + 4z + z2 = 0 Solving 13 + 4z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-13' to each side of the equation. 13 + 4z + -13 + z2 = 0 + -13 Reorder the terms: 13 + -13 + 4z + z2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4z + z2 = 0 + -13 4z + z2 = 0 + -13 Combine like terms: 0 + -13 = -13 4z + z2 = -13 The z term is 4z. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4z + 4 + z2 = -13 + 4 Reorder the terms: 4 + 4z + z2 = -13 + 4 Combine like terms: -13 + 4 = -9 4 + 4z + z2 = -9 Factor a perfect square on the left side: (z + 2)(z + 2) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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