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Simplifying 12x2 + -29x + 55 = 0 Reorder the terms: 55 + -29x + 12x2 = 0 Solving 55 + -29x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 4.583333333 + -2.416666667x + x2 = 0 Move the constant term to the right: Add '-4.583333333' to each side of the equation. 4.583333333 + -2.416666667x + -4.583333333 + x2 = 0 + -4.583333333 Reorder the terms: 4.583333333 + -4.583333333 + -2.416666667x + x2 = 0 + -4.583333333 Combine like terms: 4.583333333 + -4.583333333 = 0.000000000 0.000000000 + -2.416666667x + x2 = 0 + -4.583333333 -2.416666667x + x2 = 0 + -4.583333333 Combine like terms: 0 + -4.583333333 = -4.583333333 -2.416666667x + x2 = -4.583333333 The x term is -2.416666667x. Take half its coefficient (-1.208333334). Square it (1.460069446) and add it to both sides. Add '1.460069446' to each side of the equation. -2.416666667x + 1.460069446 + x2 = -4.583333333 + 1.460069446 Reorder the terms: 1.460069446 + -2.416666667x + x2 = -4.583333333 + 1.460069446 Combine like terms: -4.583333333 + 1.460069446 = -3.123263887 1.460069446 + -2.416666667x + x2 = -3.123263887 Factor a perfect square on the left side: (x + -1.208333334)(x + -1.208333334) = -3.123263887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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