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Simplifying z2 + 7z + 28 = 0 Reorder the terms: 28 + 7z + z2 = 0 Solving 28 + 7z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + 7z + -28 + z2 = 0 + -28 Reorder the terms: 28 + -28 + 7z + z2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 7z + z2 = 0 + -28 7z + z2 = 0 + -28 Combine like terms: 0 + -28 = -28 7z + z2 = -28 The z term is 7z. Take half its coefficient (3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. 7z + 12.25 + z2 = -28 + 12.25 Reorder the terms: 12.25 + 7z + z2 = -28 + 12.25 Combine like terms: -28 + 12.25 = -15.75 12.25 + 7z + z2 = -15.75 Factor a perfect square on the left side: (z + 3.5)(z + 3.5) = -15.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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