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Simplifying 0 = 15x2 + -52x + 134 Reorder the terms: 0 = 134 + -52x + 15x2 Solving 0 = 134 + -52x + 15x2 Solving for variable 'x'. Combine like terms: 0 + -134 = -134 -134 + 52x + -15x2 = 134 + -52x + 15x2 + -134 + 52x + -15x2 Reorder the terms: -134 + 52x + -15x2 = 134 + -134 + -52x + 52x + 15x2 + -15x2 Combine like terms: 134 + -134 = 0 -134 + 52x + -15x2 = 0 + -52x + 52x + 15x2 + -15x2 -134 + 52x + -15x2 = -52x + 52x + 15x2 + -15x2 Combine like terms: -52x + 52x = 0 -134 + 52x + -15x2 = 0 + 15x2 + -15x2 -134 + 52x + -15x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 -134 + 52x + -15x2 = 0 Begin completing the square. Divide all terms by -15 the coefficient of the squared term: Divide each side by '-15'. 8.933333333 + -3.466666667x + x2 = 0 Move the constant term to the right: Add '-8.933333333' to each side of the equation. 8.933333333 + -3.466666667x + -8.933333333 + x2 = 0 + -8.933333333 Reorder the terms: 8.933333333 + -8.933333333 + -3.466666667x + x2 = 0 + -8.933333333 Combine like terms: 8.933333333 + -8.933333333 = 0.000000000 0.000000000 + -3.466666667x + x2 = 0 + -8.933333333 -3.466666667x + x2 = 0 + -8.933333333 Combine like terms: 0 + -8.933333333 = -8.933333333 -3.466666667x + x2 = -8.933333333 The x term is -3.466666667x. Take half its coefficient (-1.733333334). Square it (3.004444447) and add it to both sides. Add '3.004444447' to each side of the equation. -3.466666667x + 3.004444447 + x2 = -8.933333333 + 3.004444447 Reorder the terms: 3.004444447 + -3.466666667x + x2 = -8.933333333 + 3.004444447 Combine like terms: -8.933333333 + 3.004444447 = -5.928888886 3.004444447 + -3.466666667x + x2 = -5.928888886 Factor a perfect square on the left side: (x + -1.733333334)(x + -1.733333334) = -5.928888886 Can't calculate square root of the right side. The solution to this equation could not be determined.
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