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Simplifying x2 + -12x + 49 = 6 Reorder the terms: 49 + -12x + x2 = 6 Solving 49 + -12x + x2 = 6 Solving for variable 'x'. Reorder the terms: 49 + -6 + -12x + x2 = 6 + -6 Combine like terms: 49 + -6 = 43 43 + -12x + x2 = 6 + -6 Combine like terms: 6 + -6 = 0 43 + -12x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-43' to each side of the equation. 43 + -12x + -43 + x2 = 0 + -43 Reorder the terms: 43 + -43 + -12x + x2 = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -12x + x2 = 0 + -43 -12x + x2 = 0 + -43 Combine like terms: 0 + -43 = -43 -12x + x2 = -43 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 = -43 + 36 Reorder the terms: 36 + -12x + x2 = -43 + 36 Combine like terms: -43 + 36 = -7 36 + -12x + x2 = -7 Factor a perfect square on the left side: (x + -6)(x + -6) = -7 Can't calculate square root of the right side. The solution to this equation could not be determined.
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