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Simplifying 9x2 + -11x + 24 = 0 Reorder the terms: 24 + -11x + 9x2 = 0 Solving 24 + -11x + 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 + -1.222222222x + x2 = 0 Move the constant term to the right: Add '-2.666666667' to each side of the equation. 2.666666667 + -1.222222222x + -2.666666667 + x2 = 0 + -2.666666667 Reorder the terms: 2.666666667 + -2.666666667 + -1.222222222x + x2 = 0 + -2.666666667 Combine like terms: 2.666666667 + -2.666666667 = 0.000000000 0.000000000 + -1.222222222x + x2 = 0 + -2.666666667 -1.222222222x + x2 = 0 + -2.666666667 Combine like terms: 0 + -2.666666667 = -2.666666667 -1.222222222x + x2 = -2.666666667 The x term is -1.222222222x. Take half its coefficient (-0.611111111). Square it (0.3734567900) and add it to both sides. Add '0.3734567900' to each side of the equation. -1.222222222x + 0.3734567900 + x2 = -2.666666667 + 0.3734567900 Reorder the terms: 0.3734567900 + -1.222222222x + x2 = -2.666666667 + 0.3734567900 Combine like terms: -2.666666667 + 0.3734567900 = -2.293209877 0.3734567900 + -1.222222222x + x2 = -2.293209877 Factor a perfect square on the left side: (x + -0.611111111)(x + -0.611111111) = -2.293209877 Can't calculate square root of the right side. The solution to this equation could not be determined.
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