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Simplifying x2 + -4.1x + 12 = 0 Reorder the terms: 12 + -4.1x + x2 = 0 Solving 12 + -4.1x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + -4.1x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -4.1x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4.1x + x2 = 0 + -12 -4.1x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -4.1x + x2 = -12 The x term is -4.1x. Take half its coefficient (-2.05). Square it (4.2025) and add it to both sides. Add '4.2025' to each side of the equation. -4.1x + 4.2025 + x2 = -12 + 4.2025 Reorder the terms: 4.2025 + -4.1x + x2 = -12 + 4.2025 Combine like terms: -12 + 4.2025 = -7.7975 4.2025 + -4.1x + x2 = -7.7975 Factor a perfect square on the left side: (x + -2.05)(x + -2.05) = -7.7975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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