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Simplifying 10x2 + 9x + 91 = 0 Reorder the terms: 91 + 9x + 10x2 = 0 Solving 91 + 9x + 10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 9.1 + 0.9x + x2 = 0 Move the constant term to the right: Add '-9.1' to each side of the equation. 9.1 + 0.9x + -9.1 + x2 = 0 + -9.1 Reorder the terms: 9.1 + -9.1 + 0.9x + x2 = 0 + -9.1 Combine like terms: 9.1 + -9.1 = 0.0 0.0 + 0.9x + x2 = 0 + -9.1 0.9x + x2 = 0 + -9.1 Combine like terms: 0 + -9.1 = -9.1 0.9x + x2 = -9.1 The x term is 0.9x. 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. 0.9x + 0.2025 + x2 = -9.1 + 0.2025 Reorder the terms: 0.2025 + 0.9x + x2 = -9.1 + 0.2025 Combine like terms: -9.1 + 0.2025 = -8.8975 0.2025 + 0.9x + x2 = -8.8975 Factor a perfect square on the left side: (x + 0.45)(x + 0.45) = -8.8975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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