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Simplifying z2 + 16z + 68 = 0 Reorder the terms: 68 + 16z + z2 = 0 Solving 68 + 16z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-68' to each side of the equation. 68 + 16z + -68 + z2 = 0 + -68 Reorder the terms: 68 + -68 + 16z + z2 = 0 + -68 Combine like terms: 68 + -68 = 0 0 + 16z + z2 = 0 + -68 16z + z2 = 0 + -68 Combine like terms: 0 + -68 = -68 16z + z2 = -68 The z term is 16z. Take half its coefficient (8). Square it (64) and add it to both sides. Add '64' to each side of the equation. 16z + 64 + z2 = -68 + 64 Reorder the terms: 64 + 16z + z2 = -68 + 64 Combine like terms: -68 + 64 = -4 64 + 16z + z2 = -4 Factor a perfect square on the left side: (z + 8)(z + 8) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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