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Simplifying 9x2 + 29x + 25 = 0 Reorder the terms: 25 + 29x + 9x2 = 0 Solving 25 + 29x + 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'. 2.777777778 + 3.222222222x + x2 = 0 Move the constant term to the right: Add '-2.777777778' to each side of the equation. 2.777777778 + 3.222222222x + -2.777777778 + x2 = 0 + -2.777777778 Reorder the terms: 2.777777778 + -2.777777778 + 3.222222222x + x2 = 0 + -2.777777778 Combine like terms: 2.777777778 + -2.777777778 = 0.000000000 0.000000000 + 3.222222222x + x2 = 0 + -2.777777778 3.222222222x + x2 = 0 + -2.777777778 Combine like terms: 0 + -2.777777778 = -2.777777778 3.222222222x + x2 = -2.777777778 The x term is 3.222222222x. Take half its coefficient (1.611111111). Square it (2.595679012) and add it to both sides. Add '2.595679012' to each side of the equation. 3.222222222x + 2.595679012 + x2 = -2.777777778 + 2.595679012 Reorder the terms: 2.595679012 + 3.222222222x + x2 = -2.777777778 + 2.595679012 Combine like terms: -2.777777778 + 2.595679012 = -0.182098766 2.595679012 + 3.222222222x + x2 = -0.182098766 Factor a perfect square on the left side: (x + 1.611111111)(x + 1.611111111) = -0.182098766 Can't calculate square root of the right side. The solution to this equation could not be determined.
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