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Simplifying (X + -1)(x2 + 5x + 6) = 0 Reorder the terms: (-1 + X)(x2 + 5x + 6) = 0 Reorder the terms: (-1 + X)(6 + 5x + x2) = 0 Multiply (-1 + X) * (6 + 5x + x2) (-1(6 + 5x + x2) + X(6 + 5x + x2)) = 0 ((6 * -1 + 5x * -1 + x2 * -1) + X(6 + 5x + x2)) = 0 ((-6 + -5x + -1x2) + X(6 + 5x + x2)) = 0 (-6 + -5x + -1x2 + (6 * X + 5x * X + x2 * X)) = 0 (-6 + -5x + -1x2 + (6X + 5xX + x2X)) = 0 Reorder the terms: (-6 + 6X + -5x + 5xX + -1x2 + x2X) = 0 (-6 + 6X + -5x + 5xX + -1x2 + x2X) = 0 Solving -6 + 6X + -5x + 5xX + -1x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6X + -5x + 5xX + -1x2 + 6 + x2X = 0 + 6 Reorder the terms: -6 + 6 + 6X + -5x + 5xX + -1x2 + x2X = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6X + -5x + 5xX + -1x2 + x2X = 0 + 6 6X + -5x + 5xX + -1x2 + x2X = 0 + 6 Combine like terms: 0 + 6 = 6 6X + -5x + 5xX + -1x2 + x2X = 6 Add '5x' to each side of the equation. 6X + -5x + 5xX + -1x2 + 5x + x2X = 6 + 5x Reorder the terms: 6X + -5x + 5x + 5xX + -1x2 + x2X = 6 + 5x Combine like terms: -5x + 5x = 0 6X + 0 + 5xX + -1x2 + x2X = 6 + 5x 6X + 5xX + -1x2 + x2X = 6 + 5x Add 'x2' to each side of the equation. 6X + 5xX + -1x2 + x2 + x2X = 6 + 5x + x2 Combine like terms: -1x2 + x2 = 0 6X + 5xX + 0 + x2X = 6 + 5x + x2 6X + 5xX + x2X = 6 + 5x + x2 Reorder the terms: -6 + 6X + -5x + 5xX + -1x2 + x2X = 6 + 5x + x2 + -6 + -5x + -1x2 Reorder the terms: -6 + 6X + -5x + 5xX + -1x2 + x2X = 6 + -6 + 5x + -5x + x2 + -1x2 Combine like terms: 6 + -6 = 0 -6 + 6X + -5x + 5xX + -1x2 + x2X = 0 + 5x + -5x + x2 + -1x2 -6 + 6X + -5x + 5xX + -1x2 + x2X = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 -6 + 6X + -5x + 5xX + -1x2 + x2X = 0 + x2 + -1x2 -6 + 6X + -5x + 5xX + -1x2 + x2X = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + 6X + -5x + 5xX + -1x2 + x2X = 0 The solution to this equation could not be determined.
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