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Simplifying x2 + -6x = -49 Reorder the terms: -6x + x2 = -49 Solving -6x + x2 = -49 Solving for variable 'x'. Reorder the terms: 49 + -6x + x2 = -49 + 49 Combine like terms: -49 + 49 = 0 49 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-49' to each side of the equation. 49 + -6x + -49 + x2 = 0 + -49 Reorder the terms: 49 + -49 + -6x + x2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -6x + x2 = 0 + -49 -6x + x2 = 0 + -49 Combine like terms: 0 + -49 = -49 -6x + x2 = -49 The x term is -6x. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6x + 9 + x2 = -49 + 9 Reorder the terms: 9 + -6x + x2 = -49 + 9 Combine like terms: -49 + 9 = -40 9 + -6x + x2 = -40 Factor a perfect square on the left side: (x + -3)(x + -3) = -40 Can't calculate square root of the right side. The solution to this equation could not be determined.
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