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Simplifying (z2) + 4z + 19 = 0 z2 + 4z + 19 = 0 Reorder the terms: 19 + 4z + z2 = 0 Solving 19 + 4z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + 4z + -19 + z2 = 0 + -19 Reorder the terms: 19 + -19 + 4z + z2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 4z + z2 = 0 + -19 4z + z2 = 0 + -19 Combine like terms: 0 + -19 = -19 4z + z2 = -19 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 = -19 + 4 Reorder the terms: 4 + 4z + z2 = -19 + 4 Combine like terms: -19 + 4 = -15 4 + 4z + z2 = -15 Factor a perfect square on the left side: (z + 2)(z + 2) = -15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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