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Simplifying 2x2 + -3x + 2.5 = 3 + -2.25 Reorder the terms: 2.5 + -3x + 2x2 = 3 + -2.25 Combine like terms: 3 + -2.25 = 0.75 2.5 + -3x + 2x2 = 0.75 Solving 2.5 + -3x + 2x2 = 0.75 Solving for variable 'x'. Reorder the terms: 2.5 + -0.75 + -3x + 2x2 = 0.75 + -0.75 Combine like terms: 2.5 + -0.75 = 1.75 1.75 + -3x + 2x2 = 0.75 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 1.75 + -3x + 2x2 = 0.00 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 0.875 + -1.5x + x2 = 0.00 Move the constant term to the right: Add '-0.875' to each side of the equation. 0.875 + -1.5x + -0.875 + x2 = 0.00 + -0.875 Reorder the terms: 0.875 + -0.875 + -1.5x + x2 = 0.00 + -0.875 Combine like terms: 0.875 + -0.875 = 0.000 0.000 + -1.5x + x2 = 0.00 + -0.875 -1.5x + x2 = 0.00 + -0.875 Combine like terms: 0.00 + -0.875 = -0.875 -1.5x + x2 = -0.875 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 = -0.875 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -0.875 + 0.5625 Combine like terms: -0.875 + 0.5625 = -0.3125 0.5625 + -1.5x + x2 = -0.3125 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -0.3125 Can't calculate square root of the right side. The solution to this equation could not be determined.
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