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Simplifying (X + -7)(x2 + 3x + -3) = 0 Reorder the terms: (-7 + X)(x2 + 3x + -3) = 0 Reorder the terms: (-7 + X)(-3 + 3x + x2) = 0 Multiply (-7 + X) * (-3 + 3x + x2) (-7(-3 + 3x + x2) + X(-3 + 3x + x2)) = 0 ((-3 * -7 + 3x * -7 + x2 * -7) + X(-3 + 3x + x2)) = 0 ((21 + -21x + -7x2) + X(-3 + 3x + x2)) = 0 (21 + -21x + -7x2 + (-3 * X + 3x * X + x2 * X)) = 0 (21 + -21x + -7x2 + (-3X + 3xX + x2X)) = 0 Reorder the terms: (21 + -3X + -21x + 3xX + -7x2 + x2X) = 0 (21 + -3X + -21x + 3xX + -7x2 + x2X) = 0 Solving 21 + -3X + -21x + 3xX + -7x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -3X + -21x + 3xX + -7x2 + -21 + x2X = 0 + -21 Reorder the terms: 21 + -21 + -3X + -21x + 3xX + -7x2 + x2X = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -3X + -21x + 3xX + -7x2 + x2X = 0 + -21 -3X + -21x + 3xX + -7x2 + x2X = 0 + -21 Combine like terms: 0 + -21 = -21 -3X + -21x + 3xX + -7x2 + x2X = -21 Add '21x' to each side of the equation. -3X + -21x + 3xX + -7x2 + 21x + x2X = -21 + 21x Reorder the terms: -3X + -21x + 21x + 3xX + -7x2 + x2X = -21 + 21x Combine like terms: -21x + 21x = 0 -3X + 0 + 3xX + -7x2 + x2X = -21 + 21x -3X + 3xX + -7x2 + x2X = -21 + 21x Add '7x2' to each side of the equation. -3X + 3xX + -7x2 + 7x2 + x2X = -21 + 21x + 7x2 Combine like terms: -7x2 + 7x2 = 0 -3X + 3xX + 0 + x2X = -21 + 21x + 7x2 -3X + 3xX + x2X = -21 + 21x + 7x2 Reorder the terms: 21 + -3X + -21x + 3xX + -7x2 + x2X = -21 + 21x + 7x2 + 21 + -21x + -7x2 Reorder the terms: 21 + -3X + -21x + 3xX + -7x2 + x2X = -21 + 21 + 21x + -21x + 7x2 + -7x2 Combine like terms: -21 + 21 = 0 21 + -3X + -21x + 3xX + -7x2 + x2X = 0 + 21x + -21x + 7x2 + -7x2 21 + -3X + -21x + 3xX + -7x2 + x2X = 21x + -21x + 7x2 + -7x2 Combine like terms: 21x + -21x = 0 21 + -3X + -21x + 3xX + -7x2 + x2X = 0 + 7x2 + -7x2 21 + -3X + -21x + 3xX + -7x2 + x2X = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 21 + -3X + -21x + 3xX + -7x2 + x2X = 0 The solution to this equation could not be determined.
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