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Simplifying x2 + -2.3x + 5.1 = 0 Reorder the terms: 5.1 + -2.3x + x2 = 0 Solving 5.1 + -2.3x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-5.1' to each side of the equation. 5.1 + -2.3x + -5.1 + x2 = 0 + -5.1 Reorder the terms: 5.1 + -5.1 + -2.3x + x2 = 0 + -5.1 Combine like terms: 5.1 + -5.1 = 0.0 0.0 + -2.3x + x2 = 0 + -5.1 -2.3x + x2 = 0 + -5.1 Combine like terms: 0 + -5.1 = -5.1 -2.3x + x2 = -5.1 The x term is -2.3x. Take half its coefficient (-1.15). Square it (1.3225) and add it to both sides. Add '1.3225' to each side of the equation. -2.3x + 1.3225 + x2 = -5.1 + 1.3225 Reorder the terms: 1.3225 + -2.3x + x2 = -5.1 + 1.3225 Combine like terms: -5.1 + 1.3225 = -3.7775 1.3225 + -2.3x + x2 = -3.7775 Factor a perfect square on the left side: (x + -1.15)(x + -1.15) = -3.7775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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