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Simplifying x2 + -12x + 51 = 0 Reorder the terms: 51 + -12x + x2 = 0 Solving 51 + -12x + 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 + -12x + -51 + x2 = 0 + -51 Reorder the terms: 51 + -51 + -12x + x2 = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -12x + x2 = 0 + -51 -12x + x2 = 0 + -51 Combine like terms: 0 + -51 = -51 -12x + x2 = -51 The x term is -12x. Take half its coefficient (-6). Square it (36) and add it to both sides. Add '36' to each side of the equation. -12x + 36 + x2 = -51 + 36 Reorder the terms: 36 + -12x + x2 = -51 + 36 Combine like terms: -51 + 36 = -15 36 + -12x + x2 = -15 Factor a perfect square on the left side: (x + -6)(x + -6) = -15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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