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Simplifying 9x2 + -20x + 33 = 0 Reorder the terms: 33 + -20x + 9x2 = 0 Solving 33 + -20x + 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'. 3.666666667 + -2.222222222x + x2 = 0 Move the constant term to the right: Add '-3.666666667' to each side of the equation. 3.666666667 + -2.222222222x + -3.666666667 + x2 = 0 + -3.666666667 Reorder the terms: 3.666666667 + -3.666666667 + -2.222222222x + x2 = 0 + -3.666666667 Combine like terms: 3.666666667 + -3.666666667 = 0.000000000 0.000000000 + -2.222222222x + x2 = 0 + -3.666666667 -2.222222222x + x2 = 0 + -3.666666667 Combine like terms: 0 + -3.666666667 = -3.666666667 -2.222222222x + x2 = -3.666666667 The x term is -2.222222222x. Take half its coefficient (-1.111111111). Square it (1.234567901) and add it to both sides. Add '1.234567901' to each side of the equation. -2.222222222x + 1.234567901 + x2 = -3.666666667 + 1.234567901 Reorder the terms: 1.234567901 + -2.222222222x + x2 = -3.666666667 + 1.234567901 Combine like terms: -3.666666667 + 1.234567901 = -2.432098766 1.234567901 + -2.222222222x + x2 = -2.432098766 Factor a perfect square on the left side: (x + -1.111111111)(x + -1.111111111) = -2.432098766 Can't calculate square root of the right side. The solution to this equation could not be determined.
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