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Simplifying 2x2 + -3x + 35.5 = 0 Reorder the terms: 35.5 + -3x + 2x2 = 0 Solving 35.5 + -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'. 17.75 + -1.5x + x2 = 0 Move the constant term to the right: Add '-17.75' to each side of the equation. 17.75 + -1.5x + -17.75 + x2 = 0 + -17.75 Reorder the terms: 17.75 + -17.75 + -1.5x + x2 = 0 + -17.75 Combine like terms: 17.75 + -17.75 = 0.00 0.00 + -1.5x + x2 = 0 + -17.75 -1.5x + x2 = 0 + -17.75 Combine like terms: 0 + -17.75 = -17.75 -1.5x + x2 = -17.75 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 = -17.75 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -17.75 + 0.5625 Combine like terms: -17.75 + 0.5625 = -17.1875 0.5625 + -1.5x + x2 = -17.1875 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -17.1875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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