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Simplifying 10x2 + -9x + 11 = 0 Reorder the terms: 11 + -9x + 10x2 = 0 Solving 11 + -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'. 1.1 + -0.9x + x2 = 0 Move the constant term to the right: Add '-1.1' to each side of the equation. 1.1 + -0.9x + -1.1 + x2 = 0 + -1.1 Reorder the terms: 1.1 + -1.1 + -0.9x + x2 = 0 + -1.1 Combine like terms: 1.1 + -1.1 = 0.0 0.0 + -0.9x + x2 = 0 + -1.1 -0.9x + x2 = 0 + -1.1 Combine like terms: 0 + -1.1 = -1.1 -0.9x + x2 = -1.1 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 = -1.1 + 0.2025 Reorder the terms: 0.2025 + -0.9x + x2 = -1.1 + 0.2025 Combine like terms: -1.1 + 0.2025 = -0.8975 0.2025 + -0.9x + x2 = -0.8975 Factor a perfect square on the left side: (x + -0.45)(x + -0.45) = -0.8975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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