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Simplifying 9x2 + 11x = -5 Reorder the terms: 11x + 9x2 = -5 Solving 11x + 9x2 = -5 Solving for variable 'x'. Reorder the terms: 5 + 11x + 9x2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 11x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.5555555556 + 1.222222222x + x2 = 0 Move the constant term to the right: Add '-0.5555555556' to each side of the equation. 0.5555555556 + 1.222222222x + -0.5555555556 + x2 = 0 + -0.5555555556 Reorder the terms: 0.5555555556 + -0.5555555556 + 1.222222222x + x2 = 0 + -0.5555555556 Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000 0.0000000000 + 1.222222222x + x2 = 0 + -0.5555555556 1.222222222x + x2 = 0 + -0.5555555556 Combine like terms: 0 + -0.5555555556 = -0.5555555556 1.222222222x + x2 = -0.5555555556 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 = -0.5555555556 + 0.3734567900 Reorder the terms: 0.3734567900 + 1.222222222x + x2 = -0.5555555556 + 0.3734567900 Combine like terms: -0.5555555556 + 0.3734567900 = -0.1820987656 0.3734567900 + 1.222222222x + x2 = -0.1820987656 Factor a perfect square on the left side: (x + 0.611111111)(x + 0.611111111) = -0.1820987656 Can't calculate square root of the right side. The solution to this equation could not be determined.
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