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Simplifying 2x2 + 9x + 46 = 0 Reorder the terms: 46 + 9x + 2x2 = 0 Solving 46 + 9x + 2x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 23 + 4.5x + x2 = 0 Move the constant term to the right: Add '-23' to each side of the equation. 23 + 4.5x + -23 + x2 = 0 + -23 Reorder the terms: 23 + -23 + 4.5x + x2 = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 4.5x + x2 = 0 + -23 4.5x + x2 = 0 + -23 Combine like terms: 0 + -23 = -23 4.5x + x2 = -23 The x term is 4.5x. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5x + 5.0625 + x2 = -23 + 5.0625 Reorder the terms: 5.0625 + 4.5x + x2 = -23 + 5.0625 Combine like terms: -23 + 5.0625 = -17.9375 5.0625 + 4.5x + x2 = -17.9375 Factor a perfect square on the left side: (x + 2.25)(x + 2.25) = -17.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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