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Simplifying 49x2 + 27x + 4 = 0 Reorder the terms: 4 + 27x + 49x2 = 0 Solving 4 + 27x + 49x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.08163265306 + 0.5510204082x + x2 = 0 Move the constant term to the right: Add '-0.08163265306' to each side of the equation. 0.08163265306 + 0.5510204082x + -0.08163265306 + x2 = 0 + -0.08163265306 Reorder the terms: 0.08163265306 + -0.08163265306 + 0.5510204082x + x2 = 0 + -0.08163265306 Combine like terms: 0.08163265306 + -0.08163265306 = 0.00000000000 0.00000000000 + 0.5510204082x + x2 = 0 + -0.08163265306 0.5510204082x + x2 = 0 + -0.08163265306 Combine like terms: 0 + -0.08163265306 = -0.08163265306 0.5510204082x + x2 = -0.08163265306 The x term is 0.5510204082x. Take half its coefficient (0.2755102041). Square it (0.07590587256) and add it to both sides. Add '0.07590587256' to each side of the equation. 0.5510204082x + 0.07590587256 + x2 = -0.08163265306 + 0.07590587256 Reorder the terms: 0.07590587256 + 0.5510204082x + x2 = -0.08163265306 + 0.07590587256 Combine like terms: -0.08163265306 + 0.07590587256 = -0.0057267805 0.07590587256 + 0.5510204082x + x2 = -0.0057267805 Factor a perfect square on the left side: (x + 0.2755102041)(x + 0.2755102041) = -0.0057267805 Can't calculate square root of the right side. The solution to this equation could not be determined.
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