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Simplifying 9x2 + -38x + 47 = 0 Reorder the terms: 47 + -38x + 9x2 = 0 Solving 47 + -38x + 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'. 5.222222222 + -4.222222222x + x2 = 0 Move the constant term to the right: Add '-5.222222222' to each side of the equation. 5.222222222 + -4.222222222x + -5.222222222 + x2 = 0 + -5.222222222 Reorder the terms: 5.222222222 + -5.222222222 + -4.222222222x + x2 = 0 + -5.222222222 Combine like terms: 5.222222222 + -5.222222222 = 0.000000000 0.000000000 + -4.222222222x + x2 = 0 + -5.222222222 -4.222222222x + x2 = 0 + -5.222222222 Combine like terms: 0 + -5.222222222 = -5.222222222 -4.222222222x + x2 = -5.222222222 The x term is -4.222222222x. Take half its coefficient (-2.111111111). Square it (4.456790123) and add it to both sides. Add '4.456790123' to each side of the equation. -4.222222222x + 4.456790123 + x2 = -5.222222222 + 4.456790123 Reorder the terms: 4.456790123 + -4.222222222x + x2 = -5.222222222 + 4.456790123 Combine like terms: -5.222222222 + 4.456790123 = -0.765432099 4.456790123 + -4.222222222x + x2 = -0.765432099 Factor a perfect square on the left side: (x + -2.111111111)(x + -2.111111111) = -0.765432099 Can't calculate square root of the right side. The solution to this equation could not be determined.
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