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Simplifying 11x2 + 12x + 45 = 0 Reorder the terms: 45 + 12x + 11x2 = 0 Solving 45 + 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'. 4.090909091 + 1.090909091x + x2 = 0 Move the constant term to the right: Add '-4.090909091' to each side of the equation. 4.090909091 + 1.090909091x + -4.090909091 + x2 = 0 + -4.090909091 Reorder the terms: 4.090909091 + -4.090909091 + 1.090909091x + x2 = 0 + -4.090909091 Combine like terms: 4.090909091 + -4.090909091 = 0.000000000 0.000000000 + 1.090909091x + x2 = 0 + -4.090909091 1.090909091x + x2 = 0 + -4.090909091 Combine like terms: 0 + -4.090909091 = -4.090909091 1.090909091x + x2 = -4.090909091 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 = -4.090909091 + 0.2975206612 Reorder the terms: 0.2975206612 + 1.090909091x + x2 = -4.090909091 + 0.2975206612 Combine like terms: -4.090909091 + 0.2975206612 = -3.7933884298 0.2975206612 + 1.090909091x + x2 = -3.7933884298 Factor a perfect square on the left side: (x + 0.5454545455)(x + 0.5454545455) = -3.7933884298 Can't calculate square root of the right side. The solution to this equation could not be determined.
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