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Simplifying 121x2 + -132x + 292 = 0 Reorder the terms: 292 + -132x + 121x2 = 0 Solving 292 + -132x + 121x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 121 the coefficient of the squared term: Divide each side by '121'. 2.41322314 + -1.090909091x + x2 = 0 Move the constant term to the right: Add '-2.41322314' to each side of the equation. 2.41322314 + -1.090909091x + -2.41322314 + x2 = 0 + -2.41322314 Reorder the terms: 2.41322314 + -2.41322314 + -1.090909091x + x2 = 0 + -2.41322314 Combine like terms: 2.41322314 + -2.41322314 = 0.00000000 0.00000000 + -1.090909091x + x2 = 0 + -2.41322314 -1.090909091x + x2 = 0 + -2.41322314 Combine like terms: 0 + -2.41322314 = -2.41322314 -1.090909091x + x2 = -2.41322314 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 = -2.41322314 + 0.2975206612 Reorder the terms: 0.2975206612 + -1.090909091x + x2 = -2.41322314 + 0.2975206612 Combine like terms: -2.41322314 + 0.2975206612 = -2.1157024788 0.2975206612 + -1.090909091x + x2 = -2.1157024788 Factor a perfect square on the left side: (x + -0.5454545455)(x + -0.5454545455) = -2.1157024788 Can't calculate square root of the right side. The solution to this equation could not be determined.
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