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Simplifying 9x2 + 12 = -11x Reorder the terms: 12 + 9x2 = -11x Solving 12 + 9x2 = -11x Solving for variable 'x'. Reorder the terms: 12 + 11x + 9x2 = -11x + 11x Combine like terms: -11x + 11x = 0 12 + 11x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 1.333333333 + 1.222222222x + x2 = 0 Move the constant term to the right: Add '-1.333333333' to each side of the equation. 1.333333333 + 1.222222222x + -1.333333333 + x2 = 0 + -1.333333333 Reorder the terms: 1.333333333 + -1.333333333 + 1.222222222x + x2 = 0 + -1.333333333 Combine like terms: 1.333333333 + -1.333333333 = 0.000000000 0.000000000 + 1.222222222x + x2 = 0 + -1.333333333 1.222222222x + x2 = 0 + -1.333333333 Combine like terms: 0 + -1.333333333 = -1.333333333 1.222222222x + x2 = -1.333333333 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 = -1.333333333 + 0.3734567900 Reorder the terms: 0.3734567900 + 1.222222222x + x2 = -1.333333333 + 0.3734567900 Combine like terms: -1.333333333 + 0.3734567900 = -0.959876543 0.3734567900 + 1.222222222x + x2 = -0.959876543 Factor a perfect square on the left side: (x + 0.611111111)(x + 0.611111111) = -0.959876543 Can't calculate square root of the right side. The solution to this equation could not be determined.
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