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Simplifying z2 + -8z + 18 = 0 Reorder the terms: 18 + -8z + z2 = 0 Solving 18 + -8z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -8z + -18 + z2 = 0 + -18 Reorder the terms: 18 + -18 + -8z + z2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -8z + z2 = 0 + -18 -8z + z2 = 0 + -18 Combine like terms: 0 + -18 = -18 -8z + z2 = -18 The z term is -8z. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8z + 16 + z2 = -18 + 16 Reorder the terms: 16 + -8z + z2 = -18 + 16 Combine like terms: -18 + 16 = -2 16 + -8z + z2 = -2 Factor a perfect square on the left side: (z + -4)(z + -4) = -2 Can't calculate square root of the right side. The solution to this equation could not be determined.
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