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Simplifying (X + -1)(x2 + x + -42) = 0 Reorder the terms: (-1 + X)(x2 + x + -42) = 0 Reorder the terms: (-1 + X)(-42 + x + x2) = 0 Multiply (-1 + X) * (-42 + x + x2) (-1(-42 + x + x2) + X(-42 + x + x2)) = 0 ((-42 * -1 + x * -1 + x2 * -1) + X(-42 + x + x2)) = 0 ((42 + -1x + -1x2) + X(-42 + x + x2)) = 0 (42 + -1x + -1x2 + (-42 * X + x * X + x2 * X)) = 0 (42 + -1x + -1x2 + (-42X + xX + x2X)) = 0 Reorder the terms: (42 + -42X + -1x + xX + -1x2 + x2X) = 0 (42 + -42X + -1x + xX + -1x2 + x2X) = 0 Solving 42 + -42X + -1x + xX + -1x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42X + -1x + xX + -1x2 + -42 + x2X = 0 + -42 Reorder the terms: 42 + -42 + -42X + -1x + xX + -1x2 + x2X = 0 + -42 Combine like terms: 42 + -42 = 0 0 + -42X + -1x + xX + -1x2 + x2X = 0 + -42 -42X + -1x + xX + -1x2 + x2X = 0 + -42 Combine like terms: 0 + -42 = -42 -42X + -1x + xX + -1x2 + x2X = -42 Add 'x' to each side of the equation. -42X + -1x + xX + -1x2 + x + x2X = -42 + x Reorder the terms: -42X + -1x + x + xX + -1x2 + x2X = -42 + x Combine like terms: -1x + x = 0 -42X + 0 + xX + -1x2 + x2X = -42 + x -42X + xX + -1x2 + x2X = -42 + x Add 'x2' to each side of the equation. -42X + xX + -1x2 + x2 + x2X = -42 + x + x2 Combine like terms: -1x2 + x2 = 0 -42X + xX + 0 + x2X = -42 + x + x2 -42X + xX + x2X = -42 + x + x2 Reorder the terms: 42 + -42X + -1x + xX + -1x2 + x2X = -42 + x + x2 + 42 + -1x + -1x2 Reorder the terms: 42 + -42X + -1x + xX + -1x2 + x2X = -42 + 42 + x + -1x + x2 + -1x2 Combine like terms: -42 + 42 = 0 42 + -42X + -1x + xX + -1x2 + x2X = 0 + x + -1x + x2 + -1x2 42 + -42X + -1x + xX + -1x2 + x2X = x + -1x + x2 + -1x2 Combine like terms: x + -1x = 0 42 + -42X + -1x + xX + -1x2 + x2X = 0 + x2 + -1x2 42 + -42X + -1x + xX + -1x2 + x2X = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 42 + -42X + -1x + xX + -1x2 + x2X = 0 The solution to this equation could not be determined.
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