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Simplifying 0.2x2 + -1.3x + 3.4025 = 0 Reorder the terms: 3.4025 + -1.3x + 0.2x2 = 0 Solving 3.4025 + -1.3x + 0.2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 0.2 the coefficient of the squared term: Divide each side by '0.2'. 17.0125 + -6.5x + x2 = 0 Move the constant term to the right: Add '-17.0125' to each side of the equation. 17.0125 + -6.5x + -17.0125 + x2 = 0 + -17.0125 Reorder the terms: 17.0125 + -17.0125 + -6.5x + x2 = 0 + -17.0125 Combine like terms: 17.0125 + -17.0125 = 0.0000 0.0000 + -6.5x + x2 = 0 + -17.0125 -6.5x + x2 = 0 + -17.0125 Combine like terms: 0 + -17.0125 = -17.0125 -6.5x + x2 = -17.0125 The x term is -6.5x. Take half its coefficient (-3.25). Square it (10.5625) and add it to both sides. Add '10.5625' to each side of the equation. -6.5x + 10.5625 + x2 = -17.0125 + 10.5625 Reorder the terms: 10.5625 + -6.5x + x2 = -17.0125 + 10.5625 Combine like terms: -17.0125 + 10.5625 = -6.45 10.5625 + -6.5x + x2 = -6.45 Factor a perfect square on the left side: (x + -3.25)(x + -3.25) = -6.45 Can't calculate square root of the right side. The solution to this equation could not be determined.
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