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Simplifying x + 5 + x + 8 + x2 + -3x + 3x + -4 = 0 Reorder the terms: 5 + 8 + -4 + x + x + -3x + 3x + x2 = 0 Combine like terms: 5 + 8 = 13 13 + -4 + x + x + -3x + 3x + x2 = 0 Combine like terms: 13 + -4 = 9 9 + x + x + -3x + 3x + x2 = 0 Combine like terms: x + x = 2x 9 + 2x + -3x + 3x + x2 = 0 Combine like terms: 2x + -3x = -1x 9 + -1x + 3x + x2 = 0 Combine like terms: -1x + 3x = 2x 9 + 2x + x2 = 0 Solving 9 + 2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + 2x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 2x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2x + x2 = 0 + -9 2x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 2x + x2 = -9 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 = -9 + 1 Reorder the terms: 1 + 2x + x2 = -9 + 1 Combine like terms: -9 + 1 = -8 1 + 2x + x2 = -8 Factor a perfect square on the left side: (x + 1)(x + 1) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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