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Simplifying x2 + 28x + 1054 = 0 Reorder the terms: 1054 + 28x + x2 = 0 Solving 1054 + 28x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-1054' to each side of the equation. 1054 + 28x + -1054 + x2 = 0 + -1054 Reorder the terms: 1054 + -1054 + 28x + x2 = 0 + -1054 Combine like terms: 1054 + -1054 = 0 0 + 28x + x2 = 0 + -1054 28x + x2 = 0 + -1054 Combine like terms: 0 + -1054 = -1054 28x + x2 = -1054 The x term is 28x. Take half its coefficient (14). Square it (196) and add it to both sides. Add '196' to each side of the equation. 28x + 196 + x2 = -1054 + 196 Reorder the terms: 196 + 28x + x2 = -1054 + 196 Combine like terms: -1054 + 196 = -858 196 + 28x + x2 = -858 Factor a perfect square on the left side: (x + 14)(x + 14) = -858 Can't calculate square root of the right side. The solution to this equation could not be determined.
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