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Simplifying x2 + -4x + 6 = 0.25 Reorder the terms: 6 + -4x + x2 = 0.25 Solving 6 + -4x + x2 = 0.25 Solving for variable 'x'. Reorder the terms: 6 + -0.25 + -4x + x2 = 0.25 + -0.25 Combine like terms: 6 + -0.25 = 5.75 5.75 + -4x + x2 = 0.25 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 5.75 + -4x + x2 = 0.00 Begin completing the square. Move the constant term to the right: Add '-5.75' to each side of the equation. 5.75 + -4x + -5.75 + x2 = 0.00 + -5.75 Reorder the terms: 5.75 + -5.75 + -4x + x2 = 0.00 + -5.75 Combine like terms: 5.75 + -5.75 = 0.00 0.00 + -4x + x2 = 0.00 + -5.75 -4x + x2 = 0.00 + -5.75 Combine like terms: 0.00 + -5.75 = -5.75 -4x + x2 = -5.75 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 = -5.75 + 4 Reorder the terms: 4 + -4x + x2 = -5.75 + 4 Combine like terms: -5.75 + 4 = -1.75 4 + -4x + x2 = -1.75 Factor a perfect square on the left side: (x + -2)(x + -2) = -1.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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