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Simplifying z2 + -6z + 11 = 0 Reorder the terms: 11 + -6z + z2 = 0 Solving 11 + -6z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + -6z + -11 + z2 = 0 + -11 Reorder the terms: 11 + -11 + -6z + z2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -6z + z2 = 0 + -11 -6z + z2 = 0 + -11 Combine like terms: 0 + -11 = -11 -6z + z2 = -11 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 = -11 + 9 Reorder the terms: 9 + -6z + z2 = -11 + 9 Combine like terms: -11 + 9 = -2 9 + -6z + z2 = -2 Factor a perfect square on the left side: (z + -3)(z + -3) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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