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Simplifying x2 + 3.2x + 4.81 = 0 Reorder the terms: 4.81 + 3.2x + x2 = 0 Solving 4.81 + 3.2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-4.81' to each side of the equation. 4.81 + 3.2x + -4.81 + x2 = 0 + -4.81 Reorder the terms: 4.81 + -4.81 + 3.2x + x2 = 0 + -4.81 Combine like terms: 4.81 + -4.81 = 0.00 0.00 + 3.2x + x2 = 0 + -4.81 3.2x + x2 = 0 + -4.81 Combine like terms: 0 + -4.81 = -4.81 3.2x + x2 = -4.81 The x term is 3.2x. Take half its coefficient (1.6). Square it (2.56) and add it to both sides. Add '2.56' to each side of the equation. 3.2x + 2.56 + x2 = -4.81 + 2.56 Reorder the terms: 2.56 + 3.2x + x2 = -4.81 + 2.56 Combine like terms: -4.81 + 2.56 = -2.25 2.56 + 3.2x + x2 = -2.25 Factor a perfect square on the left side: (x + 1.6)(x + 1.6) = -2.25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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