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Simplifying x2 + -9 + -6(x + -3) + 8 = 0 Reorder the terms: x2 + -9 + -6(-3 + x) + 8 = 0 x2 + -9 + (-3 * -6 + x * -6) + 8 = 0 x2 + -9 + (18 + -6x) + 8 = 0 Reorder the terms: -9 + 18 + 8 + -6x + x2 = 0 Combine like terms: -9 + 18 = 9 9 + 8 + -6x + x2 = 0 Combine like terms: 9 + 8 = 17 17 + -6x + x2 = 0 Solving 17 + -6x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + -6x + -17 + x2 = 0 + -17 Reorder the terms: 17 + -17 + -6x + x2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -6x + x2 = 0 + -17 -6x + x2 = 0 + -17 Combine like terms: 0 + -17 = -17 -6x + x2 = -17 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 = -17 + 9 Reorder the terms: 9 + -6x + x2 = -17 + 9 Combine like terms: -17 + 9 = -8 9 + -6x + x2 = -8 Factor a perfect square on the left side: (x + -3)(x + -3) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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