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Simplifying (X + 1)(x2 + -1x + 2) = 0 Reorder the terms: (1 + X)(x2 + -1x + 2) = 0 Reorder the terms: (1 + X)(2 + -1x + x2) = 0 Multiply (1 + X) * (2 + -1x + x2) (1(2 + -1x + x2) + X(2 + -1x + x2)) = 0 ((2 * 1 + -1x * 1 + x2 * 1) + X(2 + -1x + x2)) = 0 ((2 + -1x + 1x2) + X(2 + -1x + x2)) = 0 (2 + -1x + 1x2 + (2 * X + -1x * X + x2 * X)) = 0 (2 + -1x + 1x2 + (2X + -1xX + x2X)) = 0 Reorder the terms: (2 + 2X + -1x + -1xX + 1x2 + x2X) = 0 (2 + 2X + -1x + -1xX + 1x2 + x2X) = 0 Solving 2 + 2X + -1x + -1xX + 1x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2X + -1x + -1xX + 1x2 + -2 + x2X = 0 + -2 Reorder the terms: 2 + -2 + 2X + -1x + -1xX + 1x2 + x2X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2X + -1x + -1xX + 1x2 + x2X = 0 + -2 2X + -1x + -1xX + 1x2 + x2X = 0 + -2 Combine like terms: 0 + -2 = -2 2X + -1x + -1xX + 1x2 + x2X = -2 Add 'x' to each side of the equation. 2X + -1x + -1xX + 1x2 + x + x2X = -2 + x Reorder the terms: 2X + -1x + x + -1xX + 1x2 + x2X = -2 + x Combine like terms: -1x + x = 0 2X + 0 + -1xX + 1x2 + x2X = -2 + x 2X + -1xX + 1x2 + x2X = -2 + x Add '-1x2' to each side of the equation. 2X + -1xX + 1x2 + -1x2 + x2X = -2 + x + -1x2 Combine like terms: 1x2 + -1x2 = 0 2X + -1xX + 0 + x2X = -2 + x + -1x2 2X + -1xX + x2X = -2 + x + -1x2 Reorder the terms: 2 + 2X + -1x + -1xX + x2 + x2X = -2 + x + -1x2 + 2 + -1x + x2 Reorder the terms: 2 + 2X + -1x + -1xX + x2 + x2X = -2 + 2 + x + -1x + -1x2 + x2 Combine like terms: -2 + 2 = 0 2 + 2X + -1x + -1xX + x2 + x2X = 0 + x + -1x + -1x2 + x2 2 + 2X + -1x + -1xX + x2 + x2X = x + -1x + -1x2 + x2 Combine like terms: x + -1x = 0 2 + 2X + -1x + -1xX + x2 + x2X = 0 + -1x2 + x2 2 + 2X + -1x + -1xX + x2 + x2X = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 2 + 2X + -1x + -1xX + x2 + x2X = 0 The solution to this equation could not be determined.
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