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Simplifying x2 + 3.2x + 3.56 = 0 Reorder the terms: 3.56 + 3.2x + x2 = 0 Solving 3.56 + 3.2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-3.56' to each side of the equation. 3.56 + 3.2x + -3.56 + x2 = 0 + -3.56 Reorder the terms: 3.56 + -3.56 + 3.2x + x2 = 0 + -3.56 Combine like terms: 3.56 + -3.56 = 0.00 0.00 + 3.2x + x2 = 0 + -3.56 3.2x + x2 = 0 + -3.56 Combine like terms: 0 + -3.56 = -3.56 3.2x + x2 = -3.56 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 = -3.56 + 2.56 Reorder the terms: 2.56 + 3.2x + x2 = -3.56 + 2.56 Combine like terms: -3.56 + 2.56 = -1 2.56 + 3.2x + x2 = -1 Factor a perfect square on the left side: (x + 1.6)(x + 1.6) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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