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Simplifying x2 + 14x + 52 = 0 Reorder the terms: 52 + 14x + x2 = 0 Solving 52 + 14x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-52' to each side of the equation. 52 + 14x + -52 + x2 = 0 + -52 Reorder the terms: 52 + -52 + 14x + x2 = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 14x + x2 = 0 + -52 14x + x2 = 0 + -52 Combine like terms: 0 + -52 = -52 14x + x2 = -52 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 = -52 + 49 Reorder the terms: 49 + 14x + x2 = -52 + 49 Combine like terms: -52 + 49 = -3 49 + 14x + x2 = -3 Factor a perfect square on the left side: (x + 7)(x + 7) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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