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Simplifying 13x2 + -41x + 120 = 0 Reorder the terms: 120 + -41x + 13x2 = 0 Solving 120 + -41x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 9.230769231 + -3.153846154x + x2 = 0 Move the constant term to the right: Add '-9.230769231' to each side of the equation. 9.230769231 + -3.153846154x + -9.230769231 + x2 = 0 + -9.230769231 Reorder the terms: 9.230769231 + -9.230769231 + -3.153846154x + x2 = 0 + -9.230769231 Combine like terms: 9.230769231 + -9.230769231 = 0.000000000 0.000000000 + -3.153846154x + x2 = 0 + -9.230769231 -3.153846154x + x2 = 0 + -9.230769231 Combine like terms: 0 + -9.230769231 = -9.230769231 -3.153846154x + x2 = -9.230769231 The x term is -3.153846154x. Take half its coefficient (-1.576923077). Square it (2.486686391) and add it to both sides. Add '2.486686391' to each side of the equation. -3.153846154x + 2.486686391 + x2 = -9.230769231 + 2.486686391 Reorder the terms: 2.486686391 + -3.153846154x + x2 = -9.230769231 + 2.486686391 Combine like terms: -9.230769231 + 2.486686391 = -6.74408284 2.486686391 + -3.153846154x + x2 = -6.74408284 Factor a perfect square on the left side: (x + -1.576923077)(x + -1.576923077) = -6.74408284 Can't calculate square root of the right side. The solution to this equation could not be determined.
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