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Simplifying 10x2 + 0.2x + 200 = 0 Reorder the terms: 200 + 0.2x + 10x2 = 0 Solving 200 + 0.2x + 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'. 20 + 0.02x + x2 = 0 Move the constant term to the right: Add '-20' to each side of the equation. 20 + 0.02x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + 0.02x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 0.02x + x2 = 0 + -20 0.02x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 0.02x + x2 = -20 The x term is 0.02x. Take half its coefficient (0.01). Square it (0.0001) and add it to both sides. Add '0.0001' to each side of the equation. 0.02x + 0.0001 + x2 = -20 + 0.0001 Reorder the terms: 0.0001 + 0.02x + x2 = -20 + 0.0001 Combine like terms: -20 + 0.0001 = -19.9999 0.0001 + 0.02x + x2 = -19.9999 Factor a perfect square on the left side: (x + 0.01)(x + 0.01) = -19.9999 Can't calculate square root of the right side. The solution to this equation could not be determined.
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