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Simplifying 13x2 + 27x + 45 = 0 Reorder the terms: 45 + 27x + 13x2 = 0 Solving 45 + 27x + 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'. 3.461538462 + 2.076923077x + x2 = 0 Move the constant term to the right: Add '-3.461538462' to each side of the equation. 3.461538462 + 2.076923077x + -3.461538462 + x2 = 0 + -3.461538462 Reorder the terms: 3.461538462 + -3.461538462 + 2.076923077x + x2 = 0 + -3.461538462 Combine like terms: 3.461538462 + -3.461538462 = 0.000000000 0.000000000 + 2.076923077x + x2 = 0 + -3.461538462 2.076923077x + x2 = 0 + -3.461538462 Combine like terms: 0 + -3.461538462 = -3.461538462 2.076923077x + x2 = -3.461538462 The x term is 2.076923077x. Take half its coefficient (1.038461539). Square it (1.078402368) and add it to both sides. Add '1.078402368' to each side of the equation. 2.076923077x + 1.078402368 + x2 = -3.461538462 + 1.078402368 Reorder the terms: 1.078402368 + 2.076923077x + x2 = -3.461538462 + 1.078402368 Combine like terms: -3.461538462 + 1.078402368 = -2.383136094 1.078402368 + 2.076923077x + x2 = -2.383136094 Factor a perfect square on the left side: (x + 1.038461539)(x + 1.038461539) = -2.383136094 Can't calculate square root of the right side. The solution to this equation could not be determined.
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