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Simplifying x + 8 + x + 6 + x2 + -2x + 2x + -2 = 0 Reorder the terms: 8 + 6 + -2 + x + x + -2x + 2x + x2 = 0 Combine like terms: 8 + 6 = 14 14 + -2 + x + x + -2x + 2x + x2 = 0 Combine like terms: 14 + -2 = 12 12 + x + x + -2x + 2x + x2 = 0 Combine like terms: x + x = 2x 12 + 2x + -2x + 2x + x2 = 0 Combine like terms: 2x + -2x = 0 12 + 0 + 2x + x2 = 0 12 + 2x + x2 = 0 Solving 12 + 2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-12' to each side of the equation. 12 + 2x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + 2x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2x + x2 = 0 + -12 2x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 2x + x2 = -12 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -12 + 1 Reorder the terms: 1 + 2x + x2 = -12 + 1 Combine like terms: -12 + 1 = -11 1 + 2x + x2 = -11 Factor a perfect square on the left side: (x + 1)(x + 1) = -11 Can't calculate square root of the right side. The solution to this equation could not be determined.
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