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Simplifying x2 + -5.2x + 11.4 = 0 Reorder the terms: 11.4 + -5.2x + x2 = 0 Solving 11.4 + -5.2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-11.4' to each side of the equation. 11.4 + -5.2x + -11.4 + x2 = 0 + -11.4 Reorder the terms: 11.4 + -11.4 + -5.2x + x2 = 0 + -11.4 Combine like terms: 11.4 + -11.4 = 0.0 0.0 + -5.2x + x2 = 0 + -11.4 -5.2x + x2 = 0 + -11.4 Combine like terms: 0 + -11.4 = -11.4 -5.2x + x2 = -11.4 The x term is -5.2x. Take half its coefficient (-2.6). Square it (6.76) and add it to both sides. Add '6.76' to each side of the equation. -5.2x + 6.76 + x2 = -11.4 + 6.76 Reorder the terms: 6.76 + -5.2x + x2 = -11.4 + 6.76 Combine like terms: -11.4 + 6.76 = -4.64 6.76 + -5.2x + x2 = -4.64 Factor a perfect square on the left side: (x + -2.6)(x + -2.6) = -4.64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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