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Simplifying x2 + 4x + 52 = 0 Reorder the terms: 52 + 4x + x2 = 0 Solving 52 + 4x + 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 + 4x + -52 + x2 = 0 + -52 Reorder the terms: 52 + -52 + 4x + x2 = 0 + -52 Combine like terms: 52 + -52 = 0 0 + 4x + x2 = 0 + -52 4x + x2 = 0 + -52 Combine like terms: 0 + -52 = -52 4x + x2 = -52 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -52 + 4 Reorder the terms: 4 + 4x + x2 = -52 + 4 Combine like terms: -52 + 4 = -48 4 + 4x + x2 = -48 Factor a perfect square on the left side: (x + 2)(x + 2) = -48 Can't calculate square root of the right side. The solution to this equation could not be determined.
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