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Simplifying 11x2 + 43x + 78 = 0 Reorder the terms: 78 + 43x + 11x2 = 0 Solving 78 + 43x + 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'. 7.090909091 + 3.909090909x + x2 = 0 Move the constant term to the right: Add '-7.090909091' to each side of the equation. 7.090909091 + 3.909090909x + -7.090909091 + x2 = 0 + -7.090909091 Reorder the terms: 7.090909091 + -7.090909091 + 3.909090909x + x2 = 0 + -7.090909091 Combine like terms: 7.090909091 + -7.090909091 = 0.000000000 0.000000000 + 3.909090909x + x2 = 0 + -7.090909091 3.909090909x + x2 = 0 + -7.090909091 Combine like terms: 0 + -7.090909091 = -7.090909091 3.909090909x + x2 = -7.090909091 The x term is 3.909090909x. Take half its coefficient (1.954545455). Square it (3.820247936) and add it to both sides. Add '3.820247936' to each side of the equation. 3.909090909x + 3.820247936 + x2 = -7.090909091 + 3.820247936 Reorder the terms: 3.820247936 + 3.909090909x + x2 = -7.090909091 + 3.820247936 Combine like terms: -7.090909091 + 3.820247936 = -3.270661155 3.820247936 + 3.909090909x + x2 = -3.270661155 Factor a perfect square on the left side: (x + 1.954545455)(x + 1.954545455) = -3.270661155 Can't calculate square root of the right side. The solution to this equation could not be determined.
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