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Simplifying -3 + 3x2 + -1x + 8 + 7x2 + 2x = 0 Reorder the terms: -3 + 8 + -1x + 2x + 3x2 + 7x2 = 0 Combine like terms: -3 + 8 = 5 5 + -1x + 2x + 3x2 + 7x2 = 0 Combine like terms: -1x + 2x = 1x 5 + 1x + 3x2 + 7x2 = 0 Combine like terms: 3x2 + 7x2 = 10x2 5 + 1x + 10x2 = 0 Solving 5 + 1x + 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'. 0.5 + 0.1x + x2 = 0.0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + 0.1x + -0.5 + x2 = 0.0 + -0.5 Reorder the terms: 0.5 + -0.5 + 0.1x + x2 = 0.0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.1x + x2 = 0.0 + -0.5 0.1x + x2 = 0.0 + -0.5 Combine like terms: 0.0 + -0.5 = -0.5 0.1x + x2 = -0.5 The x term is 0.1x. Take half its coefficient (0.05). Square it (0.0025) and add it to both sides. Add '0.0025' to each side of the equation. 0.1x + 0.0025 + x2 = -0.5 + 0.0025 Reorder the terms: 0.0025 + 0.1x + x2 = -0.5 + 0.0025 Combine like terms: -0.5 + 0.0025 = -0.4975 0.0025 + 0.1x + x2 = -0.4975 Factor a perfect square on the left side: (x + 0.05)(x + 0.05) = -0.4975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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