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Simplifying 9x2 + 11x + 18 = -10 + 8 Reorder the terms: 18 + 11x + 9x2 = -10 + 8 Combine like terms: -10 + 8 = -2 18 + 11x + 9x2 = -2 Solving 18 + 11x + 9x2 = -2 Solving for variable 'x'. Reorder the terms: 18 + 2 + 11x + 9x2 = -2 + 2 Combine like terms: 18 + 2 = 20 20 + 11x + 9x2 = -2 + 2 Combine like terms: -2 + 2 = 0 20 + 11x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 2.222222222 + 1.222222222x + x2 = 0 Move the constant term to the right: Add '-2.222222222' to each side of the equation. 2.222222222 + 1.222222222x + -2.222222222 + x2 = 0 + -2.222222222 Reorder the terms: 2.222222222 + -2.222222222 + 1.222222222x + x2 = 0 + -2.222222222 Combine like terms: 2.222222222 + -2.222222222 = 0.000000000 0.000000000 + 1.222222222x + x2 = 0 + -2.222222222 1.222222222x + x2 = 0 + -2.222222222 Combine like terms: 0 + -2.222222222 = -2.222222222 1.222222222x + x2 = -2.222222222 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 = -2.222222222 + 0.3734567900 Reorder the terms: 0.3734567900 + 1.222222222x + x2 = -2.222222222 + 0.3734567900 Combine like terms: -2.222222222 + 0.3734567900 = -1.848765432 0.3734567900 + 1.222222222x + x2 = -1.848765432 Factor a perfect square on the left side: (x + 0.611111111)(x + 0.611111111) = -1.848765432 Can't calculate square root of the right side. The solution to this equation could not be determined.
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