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Simplifying 9x2 + -6x + 32 = 0 Reorder the terms: 32 + -6x + 9x2 = 0 Solving 32 + -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'. 3.555555556 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '-3.555555556' to each side of the equation. 3.555555556 + -0.6666666667x + -3.555555556 + x2 = 0 + -3.555555556 Reorder the terms: 3.555555556 + -3.555555556 + -0.6666666667x + x2 = 0 + -3.555555556 Combine like terms: 3.555555556 + -3.555555556 = 0.000000000 0.000000000 + -0.6666666667x + x2 = 0 + -3.555555556 -0.6666666667x + x2 = 0 + -3.555555556 Combine like terms: 0 + -3.555555556 = -3.555555556 -0.6666666667x + x2 = -3.555555556 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 = -3.555555556 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = -3.555555556 + 0.1111111112 Combine like terms: -3.555555556 + 0.1111111112 = -3.4444444448 0.1111111112 + -0.6666666667x + x2 = -3.4444444448 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = -3.4444444448 Can't calculate square root of the right side. The solution to this equation could not be determined.
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