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Simplifying 9x2 + 28x + 52 = 0 Reorder the terms: 52 + 28x + 9x2 = 0 Solving 52 + 28x + 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'. 5.777777778 + 3.111111111x + x2 = 0 Move the constant term to the right: Add '-5.777777778' to each side of the equation. 5.777777778 + 3.111111111x + -5.777777778 + x2 = 0 + -5.777777778 Reorder the terms: 5.777777778 + -5.777777778 + 3.111111111x + x2 = 0 + -5.777777778 Combine like terms: 5.777777778 + -5.777777778 = 0.000000000 0.000000000 + 3.111111111x + x2 = 0 + -5.777777778 3.111111111x + x2 = 0 + -5.777777778 Combine like terms: 0 + -5.777777778 = -5.777777778 3.111111111x + x2 = -5.777777778 The x term is 3.111111111x. Take half its coefficient (1.555555556). Square it (2.419753088) and add it to both sides. Add '2.419753088' to each side of the equation. 3.111111111x + 2.419753088 + x2 = -5.777777778 + 2.419753088 Reorder the terms: 2.419753088 + 3.111111111x + x2 = -5.777777778 + 2.419753088 Combine like terms: -5.777777778 + 2.419753088 = -3.35802469 2.419753088 + 3.111111111x + x2 = -3.35802469 Factor a perfect square on the left side: (x + 1.555555556)(x + 1.555555556) = -3.35802469 Can't calculate square root of the right side. The solution to this equation could not be determined.
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