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Simplifying x2 + 5.65x + 8 = 0 Reorder the terms: 8 + 5.65x + x2 = 0 Solving 8 + 5.65x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + 5.65x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + 5.65x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5.65x + x2 = 0 + -8 5.65x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 5.65x + x2 = -8 The x term is 5.65x. Take half its coefficient (2.825). Square it (7.980625) and add it to both sides. Add '7.980625' to each side of the equation. 5.65x + 7.980625 + x2 = -8 + 7.980625 Reorder the terms: 7.980625 + 5.65x + x2 = -8 + 7.980625 Combine like terms: -8 + 7.980625 = -0.019375 7.980625 + 5.65x + x2 = -0.019375 Factor a perfect square on the left side: (x + 2.825)(x + 2.825) = -0.019375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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