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Simplifying x2 + 8.075x = -31.36 Reorder the terms: 8.075x + x2 = -31.36 Solving 8.075x + x2 = -31.36 Solving for variable 'x'. Reorder the terms: 31.36 + 8.075x + x2 = -31.36 + 31.36 Combine like terms: -31.36 + 31.36 = 0.00 31.36 + 8.075x + x2 = 0.00 Begin completing the square. Move the constant term to the right: Add '-31.36' to each side of the equation. 31.36 + 8.075x + -31.36 + x2 = 0.00 + -31.36 Reorder the terms: 31.36 + -31.36 + 8.075x + x2 = 0.00 + -31.36 Combine like terms: 31.36 + -31.36 = 0.00 0.00 + 8.075x + x2 = 0.00 + -31.36 8.075x + x2 = 0.00 + -31.36 Combine like terms: 0.00 + -31.36 = -31.36 8.075x + x2 = -31.36 The x term is 8.075x. Take half its coefficient (4.0375). Square it (16.30140625) and add it to both sides. Add '16.30140625' to each side of the equation. 8.075x + 16.30140625 + x2 = -31.36 + 16.30140625 Reorder the terms: 16.30140625 + 8.075x + x2 = -31.36 + 16.30140625 Combine like terms: -31.36 + 16.30140625 = -15.05859375 16.30140625 + 8.075x + x2 = -15.05859375 Factor a perfect square on the left side: (x + 4.0375)(x + 4.0375) = -15.05859375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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