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Simplifying 11x = 12x2 + 12 Reorder the terms: 11x = 12 + 12x2 Solving 11x = 12 + 12x2 Solving for variable 'x'. Reorder the terms: -12 + 11x + -12x2 = 12 + 12x2 + -12 + -12x2 Reorder the terms: -12 + 11x + -12x2 = 12 + -12 + 12x2 + -12x2 Combine like terms: 12 + -12 = 0 -12 + 11x + -12x2 = 0 + 12x2 + -12x2 -12 + 11x + -12x2 = 12x2 + -12x2 Combine like terms: 12x2 + -12x2 = 0 -12 + 11x + -12x2 = 0 Begin completing the square. Divide all terms by -12 the coefficient of the squared term: Divide each side by '-12'. 1 + -0.9166666667x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.9166666667x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.9166666667x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.9166666667x + x2 = 0 + -1 -0.9166666667x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.9166666667x + x2 = -1 The x term is -0.9166666667x. Take half its coefficient (-0.4583333334). Square it (0.2100694445) and add it to both sides. Add '0.2100694445' to each side of the equation. -0.9166666667x + 0.2100694445 + x2 = -1 + 0.2100694445 Reorder the terms: 0.2100694445 + -0.9166666667x + x2 = -1 + 0.2100694445 Combine like terms: -1 + 0.2100694445 = -0.7899305555 0.2100694445 + -0.9166666667x + x2 = -0.7899305555 Factor a perfect square on the left side: (x + -0.4583333334)(x + -0.4583333334) = -0.7899305555 Can't calculate square root of the right side. The solution to this equation could not be determined.
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