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Simplifying 11x2 + 25x + 24 = 0 Reorder the terms: 24 + 25x + 11x2 = 0 Solving 24 + 25x + 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'. 2.181818182 + 2.272727273x + x2 = 0 Move the constant term to the right: Add '-2.181818182' to each side of the equation. 2.181818182 + 2.272727273x + -2.181818182 + x2 = 0 + -2.181818182 Reorder the terms: 2.181818182 + -2.181818182 + 2.272727273x + x2 = 0 + -2.181818182 Combine like terms: 2.181818182 + -2.181818182 = 0.000000000 0.000000000 + 2.272727273x + x2 = 0 + -2.181818182 2.272727273x + x2 = 0 + -2.181818182 Combine like terms: 0 + -2.181818182 = -2.181818182 2.272727273x + x2 = -2.181818182 The x term is 2.272727273x. Take half its coefficient (1.136363637). Square it (1.291322316) and add it to both sides. Add '1.291322316' to each side of the equation. 2.272727273x + 1.291322316 + x2 = -2.181818182 + 1.291322316 Reorder the terms: 1.291322316 + 2.272727273x + x2 = -2.181818182 + 1.291322316 Combine like terms: -2.181818182 + 1.291322316 = -0.890495866 1.291322316 + 2.272727273x + x2 = -0.890495866 Factor a perfect square on the left side: (x + 1.136363637)(x + 1.136363637) = -0.890495866 Can't calculate square root of the right side. The solution to this equation could not be determined.
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