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Simplifying x2 + 8x + 4 = -46 Reorder the terms: 4 + 8x + x2 = -46 Solving 4 + 8x + x2 = -46 Solving for variable 'x'. Reorder the terms: 4 + 46 + 8x + x2 = -46 + 46 Combine like terms: 4 + 46 = 50 50 + 8x + x2 = -46 + 46 Combine like terms: -46 + 46 = 0 50 + 8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-50' to each side of the equation. 50 + 8x + -50 + x2 = 0 + -50 Reorder the terms: 50 + -50 + 8x + x2 = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 8x + x2 = 0 + -50 8x + x2 = 0 + -50 Combine like terms: 0 + -50 = -50 8x + x2 = -50 The x term is 8x. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8x + 16 + x2 = -50 + 16 Reorder the terms: 16 + 8x + x2 = -50 + 16 Combine like terms: -50 + 16 = -34 16 + 8x + x2 = -34 Factor a perfect square on the left side: (x + 4)(x + 4) = -34 Can't calculate square root of the right side. The solution to this equation could not be determined.
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