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Simplifying (2x + 8)(3X + 9) = 0 Reorder the terms: (8 + 2x)(3X + 9) = 0 Reorder the terms: (8 + 2x)(9 + 3X) = 0 Multiply (8 + 2x) * (9 + 3X) (8(9 + 3X) + 2x * (9 + 3X)) = 0 ((9 * 8 + 3X * 8) + 2x * (9 + 3X)) = 0 ((72 + 24X) + 2x * (9 + 3X)) = 0 (72 + 24X + (9 * 2x + 3X * 2x)) = 0 (72 + 24X + (18x + 6xX)) = 0 (72 + 24X + 18x + 6xX) = 0 Solving 72 + 24X + 18x + 6xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-72' to each side of the equation. 72 + 24X + 18x + -72 + 6xX = 0 + -72 Reorder the terms: 72 + -72 + 24X + 18x + 6xX = 0 + -72 Combine like terms: 72 + -72 = 0 0 + 24X + 18x + 6xX = 0 + -72 24X + 18x + 6xX = 0 + -72 Combine like terms: 0 + -72 = -72 24X + 18x + 6xX = -72 Add '-18x' to each side of the equation. 24X + 18x + -18x + 6xX = -72 + -18x Combine like terms: 18x + -18x = 0 24X + 0 + 6xX = -72 + -18x 24X + 6xX = -72 + -18x Reorder the terms: 72 + 24X + 18x + 6xX = -72 + -18x + 72 + 18x Reorder the terms: 72 + 24X + 18x + 6xX = -72 + 72 + -18x + 18x Combine like terms: -72 + 72 = 0 72 + 24X + 18x + 6xX = 0 + -18x + 18x 72 + 24X + 18x + 6xX = -18x + 18x Combine like terms: -18x + 18x = 0 72 + 24X + 18x + 6xX = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(12 + 4X + 3x + xX) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(12 + 4X + 3x + xX)' equal to zero and attempt to solve: Simplifying 12 + 4X + 3x + xX = 0 Solving 12 + 4X + 3x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4X + 3x + -12 + xX = 0 + -12 Reorder the terms: 12 + -12 + 4X + 3x + xX = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4X + 3x + xX = 0 + -12 4X + 3x + xX = 0 + -12 Combine like terms: 0 + -12 = -12 4X + 3x + xX = -12 Add '-3x' to each side of the equation. 4X + 3x + -3x + xX = -12 + -3x Combine like terms: 3x + -3x = 0 4X + 0 + xX = -12 + -3x 4X + xX = -12 + -3x 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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