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Simplifying -13x2 + 54x + -60 = 0 Reorder the terms: -60 + 54x + -13x2 = 0 Solving -60 + 54x + -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'. 4.615384615 + -4.153846154x + x2 = 0 Move the constant term to the right: Add '-4.615384615' to each side of the equation. 4.615384615 + -4.153846154x + -4.615384615 + x2 = 0 + -4.615384615 Reorder the terms: 4.615384615 + -4.615384615 + -4.153846154x + x2 = 0 + -4.615384615 Combine like terms: 4.615384615 + -4.615384615 = 0.000000000 0.000000000 + -4.153846154x + x2 = 0 + -4.615384615 -4.153846154x + x2 = 0 + -4.615384615 Combine like terms: 0 + -4.615384615 = -4.615384615 -4.153846154x + x2 = -4.615384615 The x term is -4.153846154x. Take half its coefficient (-2.076923077). Square it (4.313609468) and add it to both sides. Add '4.313609468' to each side of the equation. -4.153846154x + 4.313609468 + x2 = -4.615384615 + 4.313609468 Reorder the terms: 4.313609468 + -4.153846154x + x2 = -4.615384615 + 4.313609468 Combine like terms: -4.615384615 + 4.313609468 = -0.301775147 4.313609468 + -4.153846154x + x2 = -0.301775147 Factor a perfect square on the left side: (x + -2.076923077)(x + -2.076923077) = -0.301775147 Can't calculate square root of the right side. The solution to this equation could not be determined.
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