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Simplifying x2 + 14x + 218 = 0 Reorder the terms: 218 + 14x + x2 = 0 Solving 218 + 14x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-218' to each side of the equation. 218 + 14x + -218 + x2 = 0 + -218 Reorder the terms: 218 + -218 + 14x + x2 = 0 + -218 Combine like terms: 218 + -218 = 0 0 + 14x + x2 = 0 + -218 14x + x2 = 0 + -218 Combine like terms: 0 + -218 = -218 14x + x2 = -218 The x term is 14x. Take half its coefficient (7). Square it (49) and add it to both sides. Add '49' to each side of the equation. 14x + 49 + x2 = -218 + 49 Reorder the terms: 49 + 14x + x2 = -218 + 49 Combine like terms: -218 + 49 = -169 49 + 14x + x2 = -169 Factor a perfect square on the left side: (x + 7)(x + 7) = -169 Can't calculate square root of the right side. The solution to this equation could not be determined.
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