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Simplifying 9x2 + 30x + 29 = 0 Reorder the terms: 29 + 30x + 9x2 = 0 Solving 29 + 30x + 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'. 3.222222222 + 3.333333333x + x2 = 0 Move the constant term to the right: Add '-3.222222222' to each side of the equation. 3.222222222 + 3.333333333x + -3.222222222 + x2 = 0 + -3.222222222 Reorder the terms: 3.222222222 + -3.222222222 + 3.333333333x + x2 = 0 + -3.222222222 Combine like terms: 3.222222222 + -3.222222222 = 0.000000000 0.000000000 + 3.333333333x + x2 = 0 + -3.222222222 3.333333333x + x2 = 0 + -3.222222222 Combine like terms: 0 + -3.222222222 = -3.222222222 3.333333333x + x2 = -3.222222222 The x term is 3.333333333x. Take half its coefficient (1.666666667). Square it (2.777777779) and add it to both sides. Add '2.777777779' to each side of the equation. 3.333333333x + 2.777777779 + x2 = -3.222222222 + 2.777777779 Reorder the terms: 2.777777779 + 3.333333333x + x2 = -3.222222222 + 2.777777779 Combine like terms: -3.222222222 + 2.777777779 = -0.444444443 2.777777779 + 3.333333333x + x2 = -0.444444443 Factor a perfect square on the left side: (x + 1.666666667)(x + 1.666666667) = -0.444444443 Can't calculate square root of the right side. The solution to this equation could not be determined.
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