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Simplifying z2 + 4z + 4 = -64 Reorder the terms: 4 + 4z + z2 = -64 Solving 4 + 4z + z2 = -64 Solving for variable 'z'. Reorder the terms: 4 + 64 + 4z + z2 = -64 + 64 Combine like terms: 4 + 64 = 68 68 + 4z + z2 = -64 + 64 Combine like terms: -64 + 64 = 0 68 + 4z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '-68' to each side of the equation. 68 + 4z + -68 + z2 = 0 + -68 Reorder the terms: 68 + -68 + 4z + z2 = 0 + -68 Combine like terms: 68 + -68 = 0 0 + 4z + z2 = 0 + -68 4z + z2 = 0 + -68 Combine like terms: 0 + -68 = -68 4z + z2 = -68 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 = -68 + 4 Reorder the terms: 4 + 4z + z2 = -68 + 4 Combine like terms: -68 + 4 = -64 4 + 4z + z2 = -64 Factor a perfect square on the left side: (z + 2)(z + 2) = -64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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