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Simplifying (x + 2)(x + 2) + 4 = 0 Reorder the terms: (2 + x)(x + 2) + 4 = 0 Reorder the terms: (2 + x)(2 + x) + 4 = 0 Multiply (2 + x) * (2 + x) (2(2 + x) + x(2 + x)) + 4 = 0 ((2 * 2 + x * 2) + x(2 + x)) + 4 = 0 ((4 + 2x) + x(2 + x)) + 4 = 0 (4 + 2x + (2 * x + x * x)) + 4 = 0 (4 + 2x + (2x + x2)) + 4 = 0 Combine like terms: 2x + 2x = 4x (4 + 4x + x2) + 4 = 0 Reorder the terms: 4 + 4 + 4x + x2 = 0 Combine like terms: 4 + 4 = 8 8 + 4x + x2 = 0 Solving 8 + 4x + 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 + 4x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + 4x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4x + x2 = 0 + -8 4x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 4x + x2 = -8 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -8 + 4 Reorder the terms: 4 + 4x + x2 = -8 + 4 Combine like terms: -8 + 4 = -4 4 + 4x + x2 = -4 Factor a perfect square on the left side: (x + 2)(x + 2) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.
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