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Simplifying 10z2 + 9z + 9 = 0 Reorder the terms: 9 + 9z + 10z2 = 0 Solving 9 + 9z + 10z2 = 0 Solving for variable 'z'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.9 + 0.9z + z2 = 0 Move the constant term to the right: Add '-0.9' to each side of the equation. 0.9 + 0.9z + -0.9 + z2 = 0 + -0.9 Reorder the terms: 0.9 + -0.9 + 0.9z + z2 = 0 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + 0.9z + z2 = 0 + -0.9 0.9z + z2 = 0 + -0.9 Combine like terms: 0 + -0.9 = -0.9 0.9z + z2 = -0.9 The z term is 0.9z. Take half its coefficient (0.45). Square it (0.2025) and add it to both sides. Add '0.2025' to each side of the equation. 0.9z + 0.2025 + z2 = -0.9 + 0.2025 Reorder the terms: 0.2025 + 0.9z + z2 = -0.9 + 0.2025 Combine like terms: -0.9 + 0.2025 = -0.6975 0.2025 + 0.9z + z2 = -0.6975 Factor a perfect square on the left side: (z + 0.45)(z + 0.45) = -0.6975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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