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Simplifying z2 + -6z + 10 = 0 Reorder the terms: 10 + -6z + z2 = 0 Solving 10 + -6z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -6z + -10 + z2 = 0 + -10 Reorder the terms: 10 + -10 + -6z + z2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6z + z2 = 0 + -10 -6z + z2 = 0 + -10 Combine like terms: 0 + -10 = -10 -6z + z2 = -10 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 = -10 + 9 Reorder the terms: 9 + -6z + z2 = -10 + 9 Combine like terms: -10 + 9 = -1 9 + -6z + z2 = -1 Factor a perfect square on the left side: (z + -3)(z + -3) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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