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Simplifying -8x2 + 6 + 3x + -10 + -9x2 = 0 Reorder the terms: 6 + -10 + 3x + -8x2 + -9x2 = 0 Combine like terms: 6 + -10 = -4 -4 + 3x + -8x2 + -9x2 = 0 Combine like terms: -8x2 + -9x2 = -17x2 -4 + 3x + -17x2 = 0 Solving -4 + 3x + -17x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -17 the coefficient of the squared term: Divide each side by '-17'. 0.2352941176 + -0.1764705882x + x2 = 0 Move the constant term to the right: Add '-0.2352941176' to each side of the equation. 0.2352941176 + -0.1764705882x + -0.2352941176 + x2 = 0 + -0.2352941176 Reorder the terms: 0.2352941176 + -0.2352941176 + -0.1764705882x + x2 = 0 + -0.2352941176 Combine like terms: 0.2352941176 + -0.2352941176 = 0.0000000000 0.0000000000 + -0.1764705882x + x2 = 0 + -0.2352941176 -0.1764705882x + x2 = 0 + -0.2352941176 Combine like terms: 0 + -0.2352941176 = -0.2352941176 -0.1764705882x + x2 = -0.2352941176 The x term is -0.1764705882x. Take half its coefficient (-0.0882352941). Square it (0.007785467125) and add it to both sides. Add '0.007785467125' to each side of the equation. -0.1764705882x + 0.007785467125 + x2 = -0.2352941176 + 0.007785467125 Reorder the terms: 0.007785467125 + -0.1764705882x + x2 = -0.2352941176 + 0.007785467125 Combine like terms: -0.2352941176 + 0.007785467125 = -0.227508650475 0.007785467125 + -0.1764705882x + x2 = -0.227508650475 Factor a perfect square on the left side: (x + -0.0882352941)(x + -0.0882352941) = -0.227508650475 Can't calculate square root of the right side. The solution to this equation could not be determined.
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