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Simplifying x2 + 6 + -8 = 3x + -7 Reorder the terms: 6 + -8 + x2 = 3x + -7 Combine like terms: 6 + -8 = -2 -2 + x2 = 3x + -7 Reorder the terms: -2 + x2 = -7 + 3x Solving -2 + x2 = -7 + 3x Solving for variable 'x'. Reorder the terms: -2 + 7 + -3x + x2 = -7 + 3x + 7 + -3x Combine like terms: -2 + 7 = 5 5 + -3x + x2 = -7 + 3x + 7 + -3x Reorder the terms: 5 + -3x + x2 = -7 + 7 + 3x + -3x Combine like terms: -7 + 7 = 0 5 + -3x + x2 = 0 + 3x + -3x 5 + -3x + x2 = 3x + -3x Combine like terms: 3x + -3x = 0 5 + -3x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-5' to each side of the equation. 5 + -3x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -3x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x + x2 = 0 + -5 -3x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -3x + x2 = -5 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -5 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -5 + 2.25 Combine like terms: -5 + 2.25 = -2.75 2.25 + -3x + x2 = -2.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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