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Simplifying 5x2 + 0.5x + 98 = 0 Reorder the terms: 98 + 0.5x + 5x2 = 0 Solving 98 + 0.5x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 19.6 + 0.1x + x2 = 0 Move the constant term to the right: Add '-19.6' to each side of the equation. 19.6 + 0.1x + -19.6 + x2 = 0 + -19.6 Reorder the terms: 19.6 + -19.6 + 0.1x + x2 = 0 + -19.6 Combine like terms: 19.6 + -19.6 = 0.0 0.0 + 0.1x + x2 = 0 + -19.6 0.1x + x2 = 0 + -19.6 Combine like terms: 0 + -19.6 = -19.6 0.1x + x2 = -19.6 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 = -19.6 + 0.0025 Reorder the terms: 0.0025 + 0.1x + x2 = -19.6 + 0.0025 Combine like terms: -19.6 + 0.0025 = -19.5975 0.0025 + 0.1x + x2 = -19.5975 Factor a perfect square on the left side: (x + 0.05)(x + 0.05) = -19.5975 Can't calculate square root of the right side. The solution to this equation could not be determined.
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