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Simplifying (X + 1)(3x + 3)(2x + 3) = 0 Reorder the terms: (1 + X)(3x + 3)(2x + 3) = 0 Reorder the terms: (1 + X)(3 + 3x)(2x + 3) = 0 Reorder the terms: (1 + X)(3 + 3x)(3 + 2x) = 0 Multiply (1 + X) * (3 + 3x) (1(3 + 3x) + X(3 + 3x))(3 + 2x) = 0 ((3 * 1 + 3x * 1) + X(3 + 3x))(3 + 2x) = 0 ((3 + 3x) + X(3 + 3x))(3 + 2x) = 0 (3 + 3x + (3 * X + 3x * X))(3 + 2x) = 0 (3 + 3x + (3X + 3xX))(3 + 2x) = 0 Reorder the terms: (3 + 3X + 3x + 3xX)(3 + 2x) = 0 (3 + 3X + 3x + 3xX)(3 + 2x) = 0 Multiply (3 + 3X + 3x + 3xX) * (3 + 2x) (3(3 + 2x) + 3X * (3 + 2x) + 3x * (3 + 2x) + 3xX * (3 + 2x)) = 0 ((3 * 3 + 2x * 3) + 3X * (3 + 2x) + 3x * (3 + 2x) + 3xX * (3 + 2x)) = 0 ((9 + 6x) + 3X * (3 + 2x) + 3x * (3 + 2x) + 3xX * (3 + 2x)) = 0 (9 + 6x + (3 * 3X + 2x * 3X) + 3x * (3 + 2x) + 3xX * (3 + 2x)) = 0 (9 + 6x + (9X + 6xX) + 3x * (3 + 2x) + 3xX * (3 + 2x)) = 0 (9 + 6x + 9X + 6xX + (3 * 3x + 2x * 3x) + 3xX * (3 + 2x)) = 0 (9 + 6x + 9X + 6xX + (9x + 6x2) + 3xX * (3 + 2x)) = 0 (9 + 6x + 9X + 6xX + 9x + 6x2 + (3 * 3xX + 2x * 3xX)) = 0 (9 + 6x + 9X + 6xX + 9x + 6x2 + (9xX + 6x2X)) = 0 Reorder the terms: (9 + 9X + 6x + 9x + 6xX + 9xX + 6x2 + 6x2X) = 0 Combine like terms: 6x + 9x = 15x (9 + 9X + 15x + 6xX + 9xX + 6x2 + 6x2X) = 0 Combine like terms: 6xX + 9xX = 15xX (9 + 9X + 15x + 15xX + 6x2 + 6x2X) = 0 Solving 9 + 9X + 15x + 15xX + 6x2 + 6x2X = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 9X + 15x + 15xX + 6x2 + -9 + 6x2X = 0 + -9 Reorder the terms: 9 + -9 + 9X + 15x + 15xX + 6x2 + 6x2X = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 9X + 15x + 15xX + 6x2 + 6x2X = 0 + -9 9X + 15x + 15xX + 6x2 + 6x2X = 0 + -9 Combine like terms: 0 + -9 = -9 9X + 15x + 15xX + 6x2 + 6x2X = -9 Add '-15x' to each side of the equation. 9X + 15x + 15xX + 6x2 + -15x + 6x2X = -9 + -15x Reorder the terms: 9X + 15x + -15x + 15xX + 6x2 + 6x2X = -9 + -15x Combine like terms: 15x + -15x = 0 9X + 0 + 15xX + 6x2 + 6x2X = -9 + -15x 9X + 15xX + 6x2 + 6x2X = -9 + -15x Add '-6x2' to each side of the equation. 9X + 15xX + 6x2 + -6x2 + 6x2X = -9 + -15x + -6x2 Combine like terms: 6x2 + -6x2 = 0 9X + 15xX + 0 + 6x2X = -9 + -15x + -6x2 9X + 15xX + 6x2X = -9 + -15x + -6x2 Reorder the terms: 9 + 9X + 15x + 15xX + 6x2 + 6x2X = -9 + -15x + -6x2 + 9 + 15x + 6x2 Reorder the terms: 9 + 9X + 15x + 15xX + 6x2 + 6x2X = -9 + 9 + -15x + 15x + -6x2 + 6x2 Combine like terms: -9 + 9 = 0 9 + 9X + 15x + 15xX + 6x2 + 6x2X = 0 + -15x + 15x + -6x2 + 6x2 9 + 9X + 15x + 15xX + 6x2 + 6x2X = -15x + 15x + -6x2 + 6x2 Combine like terms: -15x + 15x = 0 9 + 9X + 15x + 15xX + 6x2 + 6x2X = 0 + -6x2 + 6x2 9 + 9X + 15x + 15xX + 6x2 + 6x2X = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 9 + 9X + 15x + 15xX + 6x2 + 6x2X = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(3 + 3X + 5x + 5xX + 2x2 + 2x2X) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + 3X + 5x + 5xX + 2x2 + 2x2X)' equal to zero and attempt to solve: Simplifying 3 + 3X + 5x + 5xX + 2x2 + 2x2X = 0 Solving 3 + 3X + 5x + 5xX + 2x2 + 2x2X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 3X + 5x + 5xX + 2x2 + -3 + 2x2X = 0 + -3 Reorder the terms: 3 + -3 + 3X + 5x + 5xX + 2x2 + 2x2X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 3X + 5x + 5xX + 2x2 + 2x2X = 0 + -3 3X + 5x + 5xX + 2x2 + 2x2X = 0 + -3 Combine like terms: 0 + -3 = -3 3X + 5x + 5xX + 2x2 + 2x2X = -3 Add '-5x' to each side of the equation. 3X + 5x + 5xX + 2x2 + -5x + 2x2X = -3 + -5x Reorder the terms: 3X + 5x + -5x + 5xX + 2x2 + 2x2X = -3 + -5x Combine like terms: 5x + -5x = 0 3X + 0 + 5xX + 2x2 + 2x2X = -3 + -5x 3X + 5xX + 2x2 + 2x2X = -3 + -5x Add '-2x2' to each side of the equation. 3X + 5xX + 2x2 + -2x2 + 2x2X = -3 + -5x + -2x2 Combine like terms: 2x2 + -2x2 = 0 3X + 5xX + 0 + 2x2X = -3 + -5x + -2x2 3X + 5xX + 2x2X = -3 + -5x + -2x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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