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Simplifying z2 + -5z + 8 = 0 Reorder the terms: 8 + -5z + z2 = 0 Solving 8 + -5z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -5z + -8 + z2 = 0 + -8 Reorder the terms: 8 + -8 + -5z + z2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5z + z2 = 0 + -8 -5z + z2 = 0 + -8 Combine like terms: 0 + -8 = -8 -5z + z2 = -8 The z term is -5z. Take half its coefficient (-2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. -5z + 6.25 + z2 = -8 + 6.25 Reorder the terms: 6.25 + -5z + z2 = -8 + 6.25 Combine like terms: -8 + 6.25 = -1.75 6.25 + -5z + z2 = -1.75 Factor a perfect square on the left side: (z + -2.5)(z + -2.5) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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