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Simplifying x2 + -4x + 51 = 0 Reorder the terms: 51 + -4x + x2 = 0 Solving 51 + -4x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-51' to each side of the equation. 51 + -4x + -51 + x2 = 0 + -51 Reorder the terms: 51 + -51 + -4x + x2 = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -4x + x2 = 0 + -51 -4x + x2 = 0 + -51 Combine like terms: 0 + -51 = -51 -4x + x2 = -51 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 = -51 + 4 Reorder the terms: 4 + -4x + x2 = -51 + 4 Combine like terms: -51 + 4 = -47 4 + -4x + x2 = -47 Factor a perfect square on the left side: (x + -2)(x + -2) = -47 Can't calculate square root of the right side. The solution to this equation could not be determined.
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