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Simplifying z2 + -4z + 20 = 0 Reorder the terms: 20 + -4z + z2 = 0 Solving 20 + -4z + 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 + -4z + -20 + z2 = 0 + -20 Reorder the terms: 20 + -20 + -4z + z2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -4z + z2 = 0 + -20 -4z + z2 = 0 + -20 Combine like terms: 0 + -20 = -20 -4z + z2 = -20 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 = -20 + 4 Reorder the terms: 4 + -4z + z2 = -20 + 4 Combine like terms: -20 + 4 = -16 4 + -4z + z2 = -16 Factor a perfect square on the left side: (z + -2)(z + -2) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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