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Simplifying x2 + 4x + 4 + 16 = 8 Reorder the terms: 4 + 16 + 4x + x2 = 8 Combine like terms: 4 + 16 = 20 20 + 4x + x2 = 8 Solving 20 + 4x + x2 = 8 Solving for variable 'x'. Reorder the terms: 20 + -8 + 4x + x2 = 8 + -8 Combine like terms: 20 + -8 = 12 12 + 4x + x2 = 8 + -8 Combine like terms: 8 + -8 = 0 12 + 4x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + 4x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 4x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4x + x2 = 0 + -12 4x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 4x + x2 = -12 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 = -12 + 4 Reorder the terms: 4 + 4x + x2 = -12 + 4 Combine like terms: -12 + 4 = -8 4 + 4x + x2 = -8 Factor a perfect square on the left side: (x + 2)(x + 2) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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