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Simplifying 9x2 + -11x + 18 = 0 Reorder the terms: 18 + -11x + 9x2 = 0 Solving 18 + -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 + -1.222222222x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -1.222222222x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + -1.222222222x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1.222222222x + x2 = 0 + -2 -1.222222222x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1.222222222x + x2 = -2 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 + 0.3734567900 Reorder the terms: 0.3734567900 + -1.222222222x + x2 = -2 + 0.3734567900 Combine like terms: -2 + 0.3734567900 = -1.62654321 0.3734567900 + -1.222222222x + x2 = -1.62654321 Factor a perfect square on the left side: (x + -0.611111111)(x + -0.611111111) = -1.62654321 Can't calculate square root of the right side. The solution to this equation could not be determined.
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