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Simplifying x2 + 2x + 28 = 0 Reorder the terms: 28 + 2x + x2 = 0 Solving 28 + 2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + 2x + -28 + x2 = 0 + -28 Reorder the terms: 28 + -28 + 2x + x2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 2x + x2 = 0 + -28 2x + x2 = 0 + -28 Combine like terms: 0 + -28 = -28 2x + x2 = -28 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 = -28 + 1 Reorder the terms: 1 + 2x + x2 = -28 + 1 Combine like terms: -28 + 1 = -27 1 + 2x + x2 = -27 Factor a perfect square on the left side: (x + 1)(x + 1) = -27 Can't calculate square root of the right side. The solution to this equation could not be determined.
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