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Simplifying 9x2 + -6x + 13 = 0 Reorder the terms: 13 + -6x + 9x2 = 0 Solving 13 + -6x + 9x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.444444444 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-1.444444444' to each side of the equation. 1.444444444 + -0.6666666667x + -1.444444444 + x2 = 0 + -1.444444444 Reorder the terms: 1.444444444 + -1.444444444 + -0.6666666667x + x2 = 0 + -1.444444444 Combine like terms: 1.444444444 + -1.444444444 = 0.000000000 0.000000000 + -0.6666666667x + x2 = 0 + -1.444444444 -0.6666666667x + x2 = 0 + -1.444444444 Combine like terms: 0 + -1.444444444 = -1.444444444 -0.6666666667x + x2 = -1.444444444 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = -1.444444444 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -1.444444444 + 0.1111111112 Combine like terms: -1.444444444 + 0.1111111112 = -1.3333333328 0.1111111112 + -0.6666666667x + x2 = -1.3333333328 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -1.3333333328 Can't calculate square root of the right side. The solution to this equation could not be determined.
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