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Simplifying 2x * x = 3x + -54.5 Multiply x * x 2x2 = 3x + -54.5 Reorder the terms: 2x2 = -54.5 + 3x Solving 2x2 = -54.5 + 3x Solving for variable 'x'. Reorder the terms: 54.5 + -3x + 2x2 = -54.5 + 3x + 54.5 + -3x Reorder the terms: 54.5 + -3x + 2x2 = -54.5 + 54.5 + 3x + -3x Combine like terms: -54.5 + 54.5 = 0.0 54.5 + -3x + 2x2 = 0.0 + 3x + -3x 54.5 + -3x + 2x2 = 3x + -3x Combine like terms: 3x + -3x = 0 54.5 + -3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 27.25 + -1.5x + x2 = 0 Move the constant term to the right: Add '-27.25' to each side of the equation. 27.25 + -1.5x + -27.25 + x2 = 0 + -27.25 Reorder the terms: 27.25 + -27.25 + -1.5x + x2 = 0 + -27.25 Combine like terms: 27.25 + -27.25 = 0.00 0.00 + -1.5x + x2 = 0 + -27.25 -1.5x + x2 = 0 + -27.25 Combine like terms: 0 + -27.25 = -27.25 -1.5x + x2 = -27.25 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 = -27.25 + 0.5625 Reorder the terms: 0.5625 + -1.5x + x2 = -27.25 + 0.5625 Combine like terms: -27.25 + 0.5625 = -26.6875 0.5625 + -1.5x + x2 = -26.6875 Factor a perfect square on the left side: (x + -0.75)(x + -0.75) = -26.6875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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