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Simplifying 0.02x2 + 0.1x + 1 = 0 Reorder the terms: 1 + 0.1x + 0.02x2 = 0 Solving 1 + 0.1x + 0.02x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.02 the coefficient of the squared term: Divide each side by '0.02'. 50 + 5x + x2 = 0 Move the constant term to the right: Add '-50' to each side of the equation. 50 + 5x + -50 + x2 = 0 + -50 Reorder the terms: 50 + -50 + 5x + x2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 5x + x2 = 0 + -50 5x + x2 = 0 + -50 Combine like terms: 0 + -50 = -50 5x + x2 = -50 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -50 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -50 + 6.25 Combine like terms: -50 + 6.25 = -43.75 6.25 + 5x + x2 = -43.75 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -43.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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