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Simplifying 12x2 + -9x + 11 = 0 Reorder the terms: 11 + -9x + 12x2 = 0 Solving 11 + -9x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 0.9166666667 + -0.75x + x2 = 0 Move the constant term to the right: Add '-0.9166666667' to each side of the equation. 0.9166666667 + -0.75x + -0.9166666667 + x2 = 0 + -0.9166666667 Reorder the terms: 0.9166666667 + -0.9166666667 + -0.75x + x2 = 0 + -0.9166666667 Combine like terms: 0.9166666667 + -0.9166666667 = 0.0000000000 0.0000000000 + -0.75x + x2 = 0 + -0.9166666667 -0.75x + x2 = 0 + -0.9166666667 Combine like terms: 0 + -0.9166666667 = -0.9166666667 -0.75x + x2 = -0.9166666667 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 = -0.9166666667 + 0.140625 Reorder the terms: 0.140625 + -0.75x + x2 = -0.9166666667 + 0.140625 Combine like terms: -0.9166666667 + 0.140625 = -0.7760416667 0.140625 + -0.75x + x2 = -0.7760416667 Factor a perfect square on the left side: (x + -0.375)(x + -0.375) = -0.7760416667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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