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Simplifying z2 + 10z + 25 = -81 Reorder the terms: 25 + 10z + z2 = -81 Solving 25 + 10z + z2 = -81 Solving for variable 'z'. Reorder the terms: 25 + 81 + 10z + z2 = -81 + 81 Combine like terms: 25 + 81 = 106 106 + 10z + z2 = -81 + 81 Combine like terms: -81 + 81 = 0 106 + 10z + z2 = 0 Begin completing the square. Move the constant term to the right: Add '-106' to each side of the equation. 106 + 10z + -106 + z2 = 0 + -106 Reorder the terms: 106 + -106 + 10z + z2 = 0 + -106 Combine like terms: 106 + -106 = 0 0 + 10z + z2 = 0 + -106 10z + z2 = 0 + -106 Combine like terms: 0 + -106 = -106 10z + z2 = -106 The z term is 10z. Take half its coefficient (5). Square it (25) and add it to both sides. Add '25' to each side of the equation. 10z + 25 + z2 = -106 + 25 Reorder the terms: 25 + 10z + z2 = -106 + 25 Combine like terms: -106 + 25 = -81 25 + 10z + z2 = -81 Factor a perfect square on the left side: (z + 5)(z + 5) = -81 Can't calculate square root of the right side. The solution to this equation could not be determined.
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