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Simplifying x2 + 3.6x + 5.22 = 0 Reorder the terms: 5.22 + 3.6x + x2 = 0 Solving 5.22 + 3.6x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-5.22' to each side of the equation. 5.22 + 3.6x + -5.22 + x2 = 0 + -5.22 Reorder the terms: 5.22 + -5.22 + 3.6x + x2 = 0 + -5.22 Combine like terms: 5.22 + -5.22 = 0.00 0.00 + 3.6x + x2 = 0 + -5.22 3.6x + x2 = 0 + -5.22 Combine like terms: 0 + -5.22 = -5.22 3.6x + x2 = -5.22 The x term is 3.6x. Take half its coefficient (1.8). Square it (3.24) and add it to both sides. Add '3.24' to each side of the equation. 3.6x + 3.24 + x2 = -5.22 + 3.24 Reorder the terms: 3.24 + 3.6x + x2 = -5.22 + 3.24 Combine like terms: -5.22 + 3.24 = -1.98 3.24 + 3.6x + x2 = -1.98 Factor a perfect square on the left side: (x + 1.8)(x + 1.8) = -1.98 Can't calculate square root of the right side. The solution to this equation could not be determined.
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