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