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Simplifying 2x2 + 3x + 2.25 = 0 Reorder the terms: 2.25 + 3x + 2x2 = 0 Solving 2.25 + 3x + 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'. 1.125 + 1.5x + x2 = 0 Move the constant term to the right: Add '-1.125' to each side of the equation. 1.125 + 1.5x + -1.125 + x2 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + 1.5x + x2 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + 1.5x + x2 = 0 + -1.125 1.5x + x2 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 1.5x + x2 = -1.125 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = -1.125 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = -1.125 + 0.5625 Combine like terms: -1.125 + 0.5625 = -0.5625 0.5625 + 1.5x + x2 = -0.5625 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = -0.5625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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