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Simplifying x2 + 2x + 1 = -9 Reorder the terms: 1 + 2x + x2 = -9 Solving 1 + 2x + x2 = -9 Solving for variable 'x'. Reorder the terms: 1 + 9 + 2x + x2 = -9 + 9 Combine like terms: 1 + 9 = 10 10 + 2x + x2 = -9 + 9 Combine like terms: -9 + 9 = 0 10 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 2x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 2x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2x + x2 = 0 + -10 2x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 2x + x2 = -10 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 = -10 + 1 Reorder the terms: 1 + 2x + x2 = -10 + 1 Combine like terms: -10 + 1 = -9 1 + 2x + x2 = -9 Factor a perfect square on the left side: (x + 1)(x + 1) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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