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Simplifying x2 + 2x + 1 = -25 Reorder the terms: 1 + 2x + x2 = -25 Solving 1 + 2x + x2 = -25 Solving for variable 'x'. Reorder the terms: 1 + 25 + 2x + x2 = -25 + 25 Combine like terms: 1 + 25 = 26 26 + 2x + x2 = -25 + 25 Combine like terms: -25 + 25 = 0 26 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-26' to each side of the equation. 26 + 2x + -26 + x2 = 0 + -26 Reorder the terms: 26 + -26 + 2x + x2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 2x + x2 = 0 + -26 2x + x2 = 0 + -26 Combine like terms: 0 + -26 = -26 2x + x2 = -26 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 = -26 + 1 Reorder the terms: 1 + 2x + x2 = -26 + 1 Combine like terms: -26 + 1 = -25 1 + 2x + x2 = -25 Factor a perfect square on the left side: (x + 1)(x + 1) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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