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Simplifying 9x2 + -3x + 20 = 0 Reorder the terms: 20 + -3x + 9x2 = 0 Solving 20 + -3x + 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'. 2.222222222 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '-2.222222222' to each side of the equation. 2.222222222 + -0.3333333333x + -2.222222222 + x2 = 0 + -2.222222222 Reorder the terms: 2.222222222 + -2.222222222 + -0.3333333333x + x2 = 0 + -2.222222222 Combine like terms: 2.222222222 + -2.222222222 = 0.000000000 0.000000000 + -0.3333333333x + x2 = 0 + -2.222222222 -0.3333333333x + x2 = 0 + -2.222222222 Combine like terms: 0 + -2.222222222 = -2.222222222 -0.3333333333x + x2 = -2.222222222 The x term is -0.3333333333x. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333x + 0.02777777779 + x2 = -2.222222222 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x + x2 = -2.222222222 + 0.02777777779 Combine like terms: -2.222222222 + 0.02777777779 = -2.19444444421 0.02777777779 + -0.3333333333x + x2 = -2.19444444421 Factor a perfect square on the left side: (x + -0.1666666667)(x + -0.1666666667) = -2.19444444421 Can't calculate square root of the right side. The solution to this equation could not be determined.
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