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Simplifying z2 + 4z + 10 = 0 Reorder the terms: 10 + 4z + z2 = 0 Solving 10 + 4z + 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 + 4z + -10 + z2 = 0 + -10 Reorder the terms: 10 + -10 + 4z + z2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 4z + z2 = 0 + -10 4z + z2 = 0 + -10 Combine like terms: 0 + -10 = -10 4z + z2 = -10 The z term is 4z. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4z + 4 + z2 = -10 + 4 Reorder the terms: 4 + 4z + z2 = -10 + 4 Combine like terms: -10 + 4 = -6 4 + 4z + z2 = -6 Factor a perfect square on the left side: (z + 2)(z + 2) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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