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Simplifying 6x + -8x2 + -3.1415 = 0 Reorder the terms: -3.1415 + 6x + -8x2 = 0 Solving -3.1415 + 6x + -8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -8 the coefficient of the squared term: Divide each side by '-8'. 0.3926875 + -0.75x + x2 = 0 Move the constant term to the right: Add '-0.3926875' to each side of the equation. 0.3926875 + -0.75x + -0.3926875 + x2 = 0 + -0.3926875 Reorder the terms: 0.3926875 + -0.3926875 + -0.75x + x2 = 0 + -0.3926875 Combine like terms: 0.3926875 + -0.3926875 = 0.0000000 0.0000000 + -0.75x + x2 = 0 + -0.3926875 -0.75x + x2 = 0 + -0.3926875 Combine like terms: 0 + -0.3926875 = -0.3926875 -0.75x + x2 = -0.3926875 The x term is -0.75x. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75x + 0.140625 + x2 = -0.3926875 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -0.3926875 + 0.140625 Combine like terms: -0.3926875 + 0.140625 = -0.2520625 0.140625 + -0.75x + x2 = -0.2520625 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -0.2520625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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