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Simplifying 0.2x2 + -1.3x + 8.746 = 0 Reorder the terms: 8.746 + -1.3x + 0.2x2 = 0 Solving 8.746 + -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'. 43.73 + -6.5x + x2 = 0 Move the constant term to the right: Add '-43.73' to each side of the equation. 43.73 + -6.5x + -43.73 + x2 = 0 + -43.73 Reorder the terms: 43.73 + -43.73 + -6.5x + x2 = 0 + -43.73 Combine like terms: 43.73 + -43.73 = 0.00 0.00 + -6.5x + x2 = 0 + -43.73 -6.5x + x2 = 0 + -43.73 Combine like terms: 0 + -43.73 = -43.73 -6.5x + x2 = -43.73 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 = -43.73 + 10.5625 Reorder the terms: 10.5625 + -6.5x + x2 = -43.73 + 10.5625 Combine like terms: -43.73 + 10.5625 = -33.1675 10.5625 + -6.5x + x2 = -33.1675 Factor a perfect square on the left side: (x + -3.25)(x + -3.25) = -33.1675 Can't calculate square root of the right side. The solution to this equation could not be determined.
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