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Simplifying 54x2 + 55x + 120 = 0 Reorder the terms: 120 + 55x + 54x2 = 0 Solving 120 + 55x + 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'. 2.222222222 + 1.018518519x + x2 = 0 Move the constant term to the right: Add '-2.222222222' to each side of the equation. 2.222222222 + 1.018518519x + -2.222222222 + x2 = 0 + -2.222222222 Reorder the terms: 2.222222222 + -2.222222222 + 1.018518519x + x2 = 0 + -2.222222222 Combine like terms: 2.222222222 + -2.222222222 = 0.000000000 0.000000000 + 1.018518519x + x2 = 0 + -2.222222222 1.018518519x + x2 = 0 + -2.222222222 Combine like terms: 0 + -2.222222222 = -2.222222222 1.018518519x + x2 = -2.222222222 The x term is 1.018518519x. Take half its coefficient (0.5092592595). Square it (0.2593449934) and add it to both sides. Add '0.2593449934' to each side of the equation. 1.018518519x + 0.2593449934 + x2 = -2.222222222 + 0.2593449934 Reorder the terms: 0.2593449934 + 1.018518519x + x2 = -2.222222222 + 0.2593449934 Combine like terms: -2.222222222 + 0.2593449934 = -1.9628772286 0.2593449934 + 1.018518519x + x2 = -1.9628772286 Factor a perfect square on the left side: (x + 0.5092592595)(x + 0.5092592595) = -1.9628772286 Can't calculate square root of the right side. The solution to this equation could not be determined.
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