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Simplifying x2 + -3x + 8 = 3x + -6 Reorder the terms: 8 + -3x + x2 = 3x + -6 Reorder the terms: 8 + -3x + x2 = -6 + 3x Solving 8 + -3x + x2 = -6 + 3x Solving for variable 'x'. Reorder the terms: 8 + 6 + -3x + -3x + x2 = -6 + 3x + 6 + -3x Combine like terms: 8 + 6 = 14 14 + -3x + -3x + x2 = -6 + 3x + 6 + -3x Combine like terms: -3x + -3x = -6x 14 + -6x + x2 = -6 + 3x + 6 + -3x Reorder the terms: 14 + -6x + x2 = -6 + 6 + 3x + -3x Combine like terms: -6 + 6 = 0 14 + -6x + x2 = 0 + 3x + -3x 14 + -6x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 14 + -6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + -6x + -14 + x2 = 0 + -14 Reorder the terms: 14 + -14 + -6x + x2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -6x + x2 = 0 + -14 -6x + x2 = 0 + -14 Combine like terms: 0 + -14 = -14 -6x + x2 = -14 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 = -14 + 9 Reorder the terms: 9 + -6x + x2 = -14 + 9 Combine like terms: -14 + 9 = -5 9 + -6x + x2 = -5 Factor a perfect square on the left side: (x + -3)(x + -3) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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