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Simplifying 100x2 + 10x + 1 = 0 Reorder the terms: 1 + 10x + 100x2 = 0 Solving 1 + 10x + 100x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 100 the coefficient of the squared term: Divide each side by '100'. 0.01 + 0.1x + x2 = 0 Move the constant term to the right: Add '-0.01' to each side of the equation. 0.01 + 0.1x + -0.01 + x2 = 0 + -0.01 Reorder the terms: 0.01 + -0.01 + 0.1x + x2 = 0 + -0.01 Combine like terms: 0.01 + -0.01 = 0.00 0.00 + 0.1x + x2 = 0 + -0.01 0.1x + x2 = 0 + -0.01 Combine like terms: 0 + -0.01 = -0.01 0.1x + x2 = -0.01 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 = -0.01 + 0.0025 Reorder the terms: 0.0025 + 0.1x + x2 = -0.01 + 0.0025 Combine like terms: -0.01 + 0.0025 = -0.0075 0.0025 + 0.1x + x2 = -0.0075 Factor a perfect square on the left side: (x + 0.05)(x + 0.05) = -0.0075 Can't calculate square root of the right side. The solution to this equation could not be determined.
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