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Simplifying x2 + -4.5x + 6 = 0 Reorder the terms: 6 + -4.5x + x2 = 0 Solving 6 + -4.5x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-6' to each side of the equation. 6 + -4.5x + -6 + x2 = 0 + -6 Reorder the terms: 6 + -6 + -4.5x + x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -4.5x + x2 = 0 + -6 -4.5x + x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -4.5x + x2 = -6 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 = -6 + 5.0625 Reorder the terms: 5.0625 + -4.5x + x2 = -6 + 5.0625 Combine like terms: -6 + 5.0625 = -0.9375 5.0625 + -4.5x + x2 = -0.9375 Factor a perfect square on the left side: (x + -2.25)(x + -2.25) = -0.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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