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Simplifying 11x2 + 12x + 9 = 0 Reorder the terms: 9 + 12x + 11x2 = 0 Solving 9 + 12x + 11x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 11 the coefficient of the squared term: Divide each side by '11'. 0.8181818182 + 1.090909091x + x2 = 0 Move the constant term to the right: Add '-0.8181818182' to each side of the equation. 0.8181818182 + 1.090909091x + -0.8181818182 + x2 = 0 + -0.8181818182 Reorder the terms: 0.8181818182 + -0.8181818182 + 1.090909091x + x2 = 0 + -0.8181818182 Combine like terms: 0.8181818182 + -0.8181818182 = 0.0000000000 0.0000000000 + 1.090909091x + x2 = 0 + -0.8181818182 1.090909091x + x2 = 0 + -0.8181818182 Combine like terms: 0 + -0.8181818182 = -0.8181818182 1.090909091x + x2 = -0.8181818182 The x term is 1.090909091x. Take half its coefficient (0.5454545455). Square it (0.2975206612) and add it to both sides. Add '0.2975206612' to each side of the equation. 1.090909091x + 0.2975206612 + x2 = -0.8181818182 + 0.2975206612 Reorder the terms: 0.2975206612 + 1.090909091x + x2 = -0.8181818182 + 0.2975206612 Combine like terms: -0.8181818182 + 0.2975206612 = -0.520661157 0.2975206612 + 1.090909091x + x2 = -0.520661157 Factor a perfect square on the left side: (x + 0.5454545455)(x + 0.5454545455) = -0.520661157 Can't calculate square root of the right side. The solution to this equation could not be determined.
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