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Simplifying 6x2 + -8x + 2 = -9 Reorder the terms: 2 + -8x + 6x2 = -9 Solving 2 + -8x + 6x2 = -9 Solving for variable 'x'. Reorder the terms: 2 + 9 + -8x + 6x2 = -9 + 9 Combine like terms: 2 + 9 = 11 11 + -8x + 6x2 = -9 + 9 Combine like terms: -9 + 9 = 0 11 + -8x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.833333333 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-1.833333333' to each side of the equation. 1.833333333 + -1.333333333x + -1.833333333 + x2 = 0 + -1.833333333 Reorder the terms: 1.833333333 + -1.833333333 + -1.333333333x + x2 = 0 + -1.833333333 Combine like terms: 1.833333333 + -1.833333333 = 0.000000000 0.000000000 + -1.333333333x + x2 = 0 + -1.833333333 -1.333333333x + x2 = 0 + -1.833333333 Combine like terms: 0 + -1.833333333 = -1.833333333 -1.333333333x + x2 = -1.833333333 The x term is -1.333333333x. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333x + 0.4444444442 + x2 = -1.833333333 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -1.833333333 + 0.4444444442 Combine like terms: -1.833333333 + 0.4444444442 = -1.3888888888 0.4444444442 + -1.333333333x + x2 = -1.3888888888 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -1.3888888888 Can't calculate square root of the right side. The solution to this equation could not be determined.
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