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Simplifying x2 + -12x + 40 = 1 Reorder the terms: 40 + -12x + x2 = 1 Solving 40 + -12x + x2 = 1 Solving for variable 'x'. Reorder the terms: 40 + -1 + -12x + x2 = 1 + -1 Combine like terms: 40 + -1 = 39 39 + -12x + x2 = 1 + -1 Combine like terms: 1 + -1 = 0 39 + -12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-39' to each side of the equation. 39 + -12x + -39 + x2 = 0 + -39 Reorder the terms: 39 + -39 + -12x + x2 = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -12x + x2 = 0 + -39 -12x + x2 = 0 + -39 Combine like terms: 0 + -39 = -39 -12x + x2 = -39 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 = -39 + 36 Reorder the terms: 36 + -12x + x2 = -39 + 36 Combine like terms: -39 + 36 = -3 36 + -12x + x2 = -3 Factor a perfect square on the left side: (x + -6)(x + -6) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined.
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