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