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Simplifying z2 + 6z + 9 = -17 Reorder the terms: 9 + 6z + z2 = -17 Solving 9 + 6z + z2 = -17 Solving for variable 'z'. Reorder the terms: 9 + 17 + 6z + z2 = -17 + 17 Combine like terms: 9 + 17 = 26 26 + 6z + z2 = -17 + 17 Combine like terms: -17 + 17 = 0 26 + 6z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '-26' to each side of the equation. 26 + 6z + -26 + z2 = 0 + -26 Reorder the terms: 26 + -26 + 6z + z2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 6z + z2 = 0 + -26 6z + z2 = 0 + -26 Combine like terms: 0 + -26 = -26 6z + z2 = -26 The z term is 6z. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6z + 9 + z2 = -26 + 9 Reorder the terms: 9 + 6z + z2 = -26 + 9 Combine like terms: -26 + 9 = -17 9 + 6z + z2 = -17 Factor a perfect square on the left side: (z + 3)(z + 3) = -17 Can't calculate square root of the right side. The solution to this equation could not be determined.
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