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Simplifying z2 + 6z + 20 = 0 Reorder the terms: 20 + 6z + z2 = 0 Solving 20 + 6z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + 6z + -20 + z2 = 0 + -20 Reorder the terms: 20 + -20 + 6z + z2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 6z + z2 = 0 + -20 6z + z2 = 0 + -20 Combine like terms: 0 + -20 = -20 6z + z2 = -20 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 = -20 + 9 Reorder the terms: 9 + 6z + z2 = -20 + 9 Combine like terms: -20 + 9 = -11 9 + 6z + z2 = -11 Factor a perfect square on the left side: (z + 3)(z + 3) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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