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Simplifying x2 + 2x + 1 = -16 Reorder the terms: 1 + 2x + x2 = -16 Solving 1 + 2x + x2 = -16 Solving for variable 'x'. Reorder the terms: 1 + 16 + 2x + x2 = -16 + 16 Combine like terms: 1 + 16 = 17 17 + 2x + x2 = -16 + 16 Combine like terms: -16 + 16 = 0 17 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + 2x + -17 + x2 = 0 + -17 Reorder the terms: 17 + -17 + 2x + x2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2x + x2 = 0 + -17 2x + x2 = 0 + -17 Combine like terms: 0 + -17 = -17 2x + x2 = -17 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -17 + 1 Reorder the terms: 1 + 2x + x2 = -17 + 1 Combine like terms: -17 + 1 = -16 1 + 2x + x2 = -16 Factor a perfect square on the left side: (x + 1)(x + 1) = -16 Can't calculate square root of the right side. The solution to this equation could not be determined.
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