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Simplifying x2 + -4x + 6 = 0.5 Reorder the terms: 6 + -4x + x2 = 0.5 Solving 6 + -4x + x2 = 0.5 Solving for variable 'x'. Reorder the terms: 6 + -0.5 + -4x + x2 = 0.5 + -0.5 Combine like terms: 6 + -0.5 = 5.5 5.5 + -4x + x2 = 0.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 5.5 + -4x + x2 = 0.0 Begin completing the square. Move the constant term to the right: Add '-5.5' to each side of the equation. 5.5 + -4x + -5.5 + x2 = 0.0 + -5.5 Reorder the terms: 5.5 + -5.5 + -4x + x2 = 0.0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -4x + x2 = 0.0 + -5.5 -4x + x2 = 0.0 + -5.5 Combine like terms: 0.0 + -5.5 = -5.5 -4x + x2 = -5.5 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -5.5 + 4 Reorder the terms: 4 + -4x + x2 = -5.5 + 4 Combine like terms: -5.5 + 4 = -1.5 4 + -4x + x2 = -1.5 Factor a perfect square on the left side: (x + -2)(x + -2) = -1.5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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