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Simplifying 9x2 + -28x + 24 = 0 Reorder the terms: 24 + -28x + 9x2 = 0 Solving 24 + -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'. 2.666666667 + -3.111111111x + x2 = 0 Move the constant term to the right: Add '-2.666666667' to each side of the equation. 2.666666667 + -3.111111111x + -2.666666667 + x2 = 0 + -2.666666667 Reorder the terms: 2.666666667 + -2.666666667 + -3.111111111x + x2 = 0 + -2.666666667 Combine like terms: 2.666666667 + -2.666666667 = 0.000000000 0.000000000 + -3.111111111x + x2 = 0 + -2.666666667 -3.111111111x + x2 = 0 + -2.666666667 Combine like terms: 0 + -2.666666667 = -2.666666667 -3.111111111x + x2 = -2.666666667 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 = -2.666666667 + 2.419753088 Reorder the terms: 2.419753088 + -3.111111111x + x2 = -2.666666667 + 2.419753088 Combine like terms: -2.666666667 + 2.419753088 = -0.246913579 2.419753088 + -3.111111111x + x2 = -0.246913579 Factor a perfect square on the left side: (x + -1.555555556)(x + -1.555555556) = -0.246913579 Can't calculate square root of the right side. The solution to this equation could not be determined.
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