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Simplifying (X + 3)(x2 + -2x + 6) = 0 Reorder the terms: (3 + X)(x2 + -2x + 6) = 0 Reorder the terms: (3 + X)(6 + -2x + x2) = 0 Multiply (3 + X) * (6 + -2x + x2) (3(6 + -2x + x2) + X(6 + -2x + x2)) = 0 ((6 * 3 + -2x * 3 + x2 * 3) + X(6 + -2x + x2)) = 0 ((18 + -6x + 3x2) + X(6 + -2x + x2)) = 0 (18 + -6x + 3x2 + (6 * X + -2x * X + x2 * X)) = 0 (18 + -6x + 3x2 + (6X + -2xX + x2X)) = 0 Reorder the terms: (18 + 6X + -6x + -2xX + 3x2 + x2X) = 0 (18 + 6X + -6x + -2xX + 3x2 + x2X) = 0 Solving 18 + 6X + -6x + -2xX + 3x2 + x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 6X + -6x + -2xX + 3x2 + -18 + x2X = 0 + -18 Reorder the terms: 18 + -18 + 6X + -6x + -2xX + 3x2 + x2X = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6X + -6x + -2xX + 3x2 + x2X = 0 + -18 6X + -6x + -2xX + 3x2 + x2X = 0 + -18 Combine like terms: 0 + -18 = -18 6X + -6x + -2xX + 3x2 + x2X = -18 Add '6x' to each side of the equation. 6X + -6x + -2xX + 3x2 + 6x + x2X = -18 + 6x Reorder the terms: 6X + -6x + 6x + -2xX + 3x2 + x2X = -18 + 6x Combine like terms: -6x + 6x = 0 6X + 0 + -2xX + 3x2 + x2X = -18 + 6x 6X + -2xX + 3x2 + x2X = -18 + 6x Add '-3x2' to each side of the equation. 6X + -2xX + 3x2 + -3x2 + x2X = -18 + 6x + -3x2 Combine like terms: 3x2 + -3x2 = 0 6X + -2xX + 0 + x2X = -18 + 6x + -3x2 6X + -2xX + x2X = -18 + 6x + -3x2 Reorder the terms: 18 + 6X + -6x + -2xX + 3x2 + x2X = -18 + 6x + -3x2 + 18 + -6x + 3x2 Reorder the terms: 18 + 6X + -6x + -2xX + 3x2 + x2X = -18 + 18 + 6x + -6x + -3x2 + 3x2 Combine like terms: -18 + 18 = 0 18 + 6X + -6x + -2xX + 3x2 + x2X = 0 + 6x + -6x + -3x2 + 3x2 18 + 6X + -6x + -2xX + 3x2 + x2X = 6x + -6x + -3x2 + 3x2 Combine like terms: 6x + -6x = 0 18 + 6X + -6x + -2xX + 3x2 + x2X = 0 + -3x2 + 3x2 18 + 6X + -6x + -2xX + 3x2 + x2X = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 18 + 6X + -6x + -2xX + 3x2 + x2X = 0 The solution to this equation could not be determined.
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