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Simplifying x(x + 2) + 107 = 0 Reorder the terms: x(2 + x) + 107 = 0 (2 * x + x * x) + 107 = 0 (2x + x2) + 107 = 0 Reorder the terms: 107 + 2x + x2 = 0 Solving 107 + 2x + x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-107' to each side of the equation. 107 + 2x + -107 + x2 = 0 + -107 Reorder the terms: 107 + -107 + 2x + x2 = 0 + -107 Combine like terms: 107 + -107 = 0 0 + 2x + x2 = 0 + -107 2x + x2 = 0 + -107 Combine like terms: 0 + -107 = -107 2x + x2 = -107 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 = -107 + 1 Reorder the terms: 1 + 2x + x2 = -107 + 1 Combine like terms: -107 + 1 = -106 1 + 2x + x2 = -106 Factor a perfect square on the left side: (x + 1)(x + 1) = -106 Can't calculate square root of the right side. The solution to this equation could not be determined.
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