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Simplifying 54x2 + 48x + 11 = 0 Reorder the terms: 11 + 48x + 54x2 = 0 Solving 11 + 48x + 54x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 54 the coefficient of the squared term: Divide each side by '54'. 0.2037037037 + 0.8888888889x + x2 = 0 Move the constant term to the right: Add '-0.2037037037' to each side of the equation. 0.2037037037 + 0.8888888889x + -0.2037037037 + x2 = 0 + -0.2037037037 Reorder the terms: 0.2037037037 + -0.2037037037 + 0.8888888889x + x2 = 0 + -0.2037037037 Combine like terms: 0.2037037037 + -0.2037037037 = 0.0000000000 0.0000000000 + 0.8888888889x + x2 = 0 + -0.2037037037 0.8888888889x + x2 = 0 + -0.2037037037 Combine like terms: 0 + -0.2037037037 = -0.2037037037 0.8888888889x + x2 = -0.2037037037 The x term is 0.8888888889x. Take half its coefficient (0.4444444445). Square it (0.1975308642) and add it to both sides. Add '0.1975308642' to each side of the equation. 0.8888888889x + 0.1975308642 + x2 = -0.2037037037 + 0.1975308642 Reorder the terms: 0.1975308642 + 0.8888888889x + x2 = -0.2037037037 + 0.1975308642 Combine like terms: -0.2037037037 + 0.1975308642 = -0.0061728395 0.1975308642 + 0.8888888889x + x2 = -0.0061728395 Factor a perfect square on the left side: (x + 0.4444444445)(x + 0.4444444445) = -0.0061728395 Can't calculate square root of the right side. The solution to this equation could not be determined.
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