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Simplifying 2x2 + 0.2x + 0.01 = 0 Reorder the terms: 0.01 + 0.2x + 2x2 = 0 Solving 0.01 + 0.2x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 0.005 + 0.1x + x2 = 0 Move the constant term to the right: Add '-0.005' to each side of the equation. 0.005 + 0.1x + -0.005 + x2 = 0 + -0.005 Reorder the terms: 0.005 + -0.005 + 0.1x + x2 = 0 + -0.005 Combine like terms: 0.005 + -0.005 = 0.000 0.000 + 0.1x + x2 = 0 + -0.005 0.1x + x2 = 0 + -0.005 Combine like terms: 0 + -0.005 = -0.005 0.1x + x2 = -0.005 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 = -0.005 + 0.0025 Reorder the terms: 0.0025 + 0.1x + x2 = -0.005 + 0.0025 Combine like terms: -0.005 + 0.0025 = -0.0025 0.0025 + 0.1x + x2 = -0.0025 Factor a perfect square on the left side: (x + 0.05)(x + 0.05) = -0.0025 Can't calculate square root of the right side. The solution to this equation could not be determined.
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