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Simplifying 11x2 + 48x + 144 = 0 Reorder the terms: 144 + 48x + 11x2 = 0 Solving 144 + 48x + 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'. 13.09090909 + 4.363636364x + x2 = 0 Move the constant term to the right: Add '-13.09090909' to each side of the equation. 13.09090909 + 4.363636364x + -13.09090909 + x2 = 0 + -13.09090909 Reorder the terms: 13.09090909 + -13.09090909 + 4.363636364x + x2 = 0 + -13.09090909 Combine like terms: 13.09090909 + -13.09090909 = 0.00000000 0.00000000 + 4.363636364x + x2 = 0 + -13.09090909 4.363636364x + x2 = 0 + -13.09090909 Combine like terms: 0 + -13.09090909 = -13.09090909 4.363636364x + x2 = -13.09090909 The x term is 4.363636364x. Take half its coefficient (2.181818182). Square it (4.760330579) and add it to both sides. Add '4.760330579' to each side of the equation. 4.363636364x + 4.760330579 + x2 = -13.09090909 + 4.760330579 Reorder the terms: 4.760330579 + 4.363636364x + x2 = -13.09090909 + 4.760330579 Combine like terms: -13.09090909 + 4.760330579 = -8.330578511 4.760330579 + 4.363636364x + x2 = -8.330578511 Factor a perfect square on the left side: (x + 2.181818182)(x + 2.181818182) = -8.330578511 Can't calculate square root of the right side. The solution to this equation could not be determined.
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