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Simplifying z2 + -8z + 25 = 0 Reorder the terms: 25 + -8z + z2 = 0 Solving 25 + -8z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -8z + -25 + z2 = 0 + -25 Reorder the terms: 25 + -25 + -8z + z2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -8z + z2 = 0 + -25 -8z + z2 = 0 + -25 Combine like terms: 0 + -25 = -25 -8z + z2 = -25 The z term is -8z. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8z + 16 + z2 = -25 + 16 Reorder the terms: 16 + -8z + z2 = -25 + 16 Combine like terms: -25 + 16 = -9 16 + -8z + z2 = -9 Factor a perfect square on the left side: (z + -4)(z + -4) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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