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Simplifying 3.2x2 + -2x + 1.3 = 0 Reorder the terms: 1.3 + -2x + 3.2x2 = 0 Solving 1.3 + -2x + 3.2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3.2 the coefficient of the squared term: Divide each side by '3.2'. 0.40625 + -0.625x + x2 = 0 Move the constant term to the right: Add '-0.40625' to each side of the equation. 0.40625 + -0.625x + -0.40625 + x2 = 0 + -0.40625 Reorder the terms: 0.40625 + -0.40625 + -0.625x + x2 = 0 + -0.40625 Combine like terms: 0.40625 + -0.40625 = 0.00000 0.00000 + -0.625x + x2 = 0 + -0.40625 -0.625x + x2 = 0 + -0.40625 Combine like terms: 0 + -0.40625 = -0.40625 -0.625x + x2 = -0.40625 The x term is -0.625x. Take half its coefficient (-0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. -0.625x + 0.09765625 + x2 = -0.40625 + 0.09765625 Reorder the terms: 0.09765625 + -0.625x + x2 = -0.40625 + 0.09765625 Combine like terms: -0.40625 + 0.09765625 = -0.30859375 0.09765625 + -0.625x + x2 = -0.30859375 Factor a perfect square on the left side: (x + -0.3125)(x + -0.3125) = -0.30859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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