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Simplifying z2 + -7z + 100 = 0 Reorder the terms: 100 + -7z + z2 = 0 Solving 100 + -7z + z2 = 0 Solving for variable 'z'. Begin completing the square. Move the constant term to the right: Add '-100' to each side of the equation. 100 + -7z + -100 + z2 = 0 + -100 Reorder the terms: 100 + -100 + -7z + z2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -7z + z2 = 0 + -100 -7z + z2 = 0 + -100 Combine like terms: 0 + -100 = -100 -7z + z2 = -100 The z term is -7z. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7z + 12.25 + z2 = -100 + 12.25 Reorder the terms: 12.25 + -7z + z2 = -100 + 12.25 Combine like terms: -100 + 12.25 = -87.75 12.25 + -7z + z2 = -87.75 Factor a perfect square on the left side: (z + -3.5)(z + -3.5) = -87.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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