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Simplifying x2 + -6x + 28 = 0 Reorder the terms: 28 + -6x + x2 = 0 Solving 28 + -6x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-28' to each side of the equation. 28 + -6x + -28 + x2 = 0 + -28 Reorder the terms: 28 + -28 + -6x + x2 = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -6x + x2 = 0 + -28 -6x + x2 = 0 + -28 Combine like terms: 0 + -28 = -28 -6x + x2 = -28 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 = -28 + 9 Reorder the terms: 9 + -6x + x2 = -28 + 9 Combine like terms: -28 + 9 = -19 9 + -6x + x2 = -19 Factor a perfect square on the left side: (x + -3)(x + -3) = -19 Can't calculate square root of the right side. The solution to this equation could not be determined.
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