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Simplifying 9x2 + 27x + 23 = 0 Reorder the terms: 23 + 27x + 9x2 = 0 Solving 23 + 27x + 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'. 2.555555556 + 3x + x2 = 0 Move the constant term to the right: Add '-2.555555556' to each side of the equation. 2.555555556 + 3x + -2.555555556 + x2 = 0 + -2.555555556 Reorder the terms: 2.555555556 + -2.555555556 + 3x + x2 = 0 + -2.555555556 Combine like terms: 2.555555556 + -2.555555556 = 0.000000000 0.000000000 + 3x + x2 = 0 + -2.555555556 3x + x2 = 0 + -2.555555556 Combine like terms: 0 + -2.555555556 = -2.555555556 3x + x2 = -2.555555556 The x term is 3x. Take half its coefficient (1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. 3x + 2.25 + x2 = -2.555555556 + 2.25 Reorder the terms: 2.25 + 3x + x2 = -2.555555556 + 2.25 Combine like terms: -2.555555556 + 2.25 = -0.305555556 2.25 + 3x + x2 = -0.305555556 Factor a perfect square on the left side: (x + 1.5)(x + 1.5) = -0.305555556 Can't calculate square root of the right side. The solution to this equation could not be determined.
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