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Simplifying (x + -1)(x2 + x + 1) = 0 Reorder the terms: (-1 + x)(x2 + x + 1) = 0 Reorder the terms: (-1 + x)(1 + x + x2) = 0 Multiply (-1 + x) * (1 + x + x2) (-1(1 + x + x2) + x(1 + x + x2)) = 0 ((1 * -1 + x * -1 + x2 * -1) + x(1 + x + x2)) = 0 ((-1 + -1x + -1x2) + x(1 + x + x2)) = 0 (-1 + -1x + -1x2 + (1 * x + x * x + x2 * x)) = 0 (-1 + -1x + -1x2 + (1x + x2 + x3)) = 0 Reorder the terms: (-1 + -1x + 1x + -1x2 + x2 + x3) = 0 Combine like terms: -1x + 1x = 0 (-1 + 0 + -1x2 + x2 + x3) = 0 (-1 + -1x2 + x2 + x3) = 0 Combine like terms: -1x2 + x2 = 0 (-1 + 0 + x3) = 0 (-1 + x3) = 0 Solving -1 + x3 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + x3 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x3 = 0 + 1 x3 = 0 + 1 Combine like terms: 0 + 1 = 1 x3 = 1 Simplifying x3 = 1 Reorder the terms: -1 + x3 = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + x3 = 0 The solution to this equation could not be determined.
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