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Simplifying x2 + 28x + 313 = 0 Reorder the terms: 313 + 28x + x2 = 0 Solving 313 + 28x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-313' to each side of the equation. 313 + 28x + -313 + x2 = 0 + -313 Reorder the terms: 313 + -313 + 28x + x2 = 0 + -313 Combine like terms: 313 + -313 = 0 0 + 28x + x2 = 0 + -313 28x + x2 = 0 + -313 Combine like terms: 0 + -313 = -313 28x + x2 = -313 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 = -313 + 196 Reorder the terms: 196 + 28x + x2 = -313 + 196 Combine like terms: -313 + 196 = -117 196 + 28x + x2 = -117 Factor a perfect square on the left side: (x + 14)(x + 14) = -117 Can't calculate square root of the right side. The solution to this equation could not be determined.
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