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Simplifying x2 + 2x + 49 = 0 Reorder the terms: 49 + 2x + x2 = 0 Solving 49 + 2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-49' to each side of the equation. 49 + 2x + -49 + x2 = 0 + -49 Reorder the terms: 49 + -49 + 2x + x2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 2x + x2 = 0 + -49 2x + x2 = 0 + -49 Combine like terms: 0 + -49 = -49 2x + x2 = -49 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 = -49 + 1 Reorder the terms: 1 + 2x + x2 = -49 + 1 Combine like terms: -49 + 1 = -48 1 + 2x + x2 = -48 Factor a perfect square on the left side: (x + 1)(x + 1) = -48 Can't calculate square root of the right side. The solution to this equation could not be determined.
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