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Simplifying z2 + -1z + 56 = 0 Reorder the terms: 56 + -1z + z2 = 0 Solving 56 + -1z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-56' to each side of the equation. 56 + -1z + -56 + z2 = 0 + -56 Reorder the terms: 56 + -56 + -1z + z2 = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -1z + z2 = 0 + -56 -1z + z2 = 0 + -56 Combine like terms: 0 + -56 = -56 -1z + z2 = -56 The z term is -1z. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1z + 0.25 + z2 = -56 + 0.25 Reorder the terms: 0.25 + -1z + z2 = -56 + 0.25 Combine like terms: -56 + 0.25 = -55.75 0.25 + -1z + z2 = -55.75 Factor a perfect square on the left side: (z + -0.5)(z + -0.5) = -55.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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