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Simplifying x + 7 + x + 5 + x2 + -3x + 3x + -2 = 0 Reorder the terms: 7 + 5 + -2 + x + x + -3x + 3x + x2 = 0 Combine like terms: 7 + 5 = 12 12 + -2 + x + x + -3x + 3x + x2 = 0 Combine like terms: 12 + -2 = 10 10 + x + x + -3x + 3x + x2 = 0 Combine like terms: x + x = 2x 10 + 2x + -3x + 3x + x2 = 0 Combine like terms: 2x + -3x = -1x 10 + -1x + 3x + x2 = 0 Combine like terms: -1x + 3x = 2x 10 + 2x + x2 = 0 Solving 10 + 2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 2x + -10 + x2 = 0 + -10 Reorder the terms: 10 + -10 + 2x + x2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2x + x2 = 0 + -10 2x + x2 = 0 + -10 Combine like terms: 0 + -10 = -10 2x + x2 = -10 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 = -10 + 1 Reorder the terms: 1 + 2x + x2 = -10 + 1 Combine like terms: -10 + 1 = -9 1 + 2x + x2 = -9 Factor a perfect square on the left side: (x + 1)(x + 1) = -9 Can't calculate square root of the right side. The solution to this equation could not be determined.
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