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Simplifying 2(3X + 8)(3x + 8 + -3) = 47 Reorder the terms: 2(8 + 3X)(3x + 8 + -3) = 47 Reorder the terms: 2(8 + 3X)(8 + -3 + 3x) = 47 Combine like terms: 8 + -3 = 5 2(8 + 3X)(5 + 3x) = 47 Multiply (8 + 3X) * (5 + 3x) 2(8(5 + 3x) + 3X * (5 + 3x)) = 47 2((5 * 8 + 3x * 8) + 3X * (5 + 3x)) = 47 2((40 + 24x) + 3X * (5 + 3x)) = 47 2(40 + 24x + (5 * 3X + 3x * 3X)) = 47 2(40 + 24x + (15X + 9xX)) = 47 Reorder the terms: 2(40 + 15X + 24x + 9xX) = 47 2(40 + 15X + 24x + 9xX) = 47 (40 * 2 + 15X * 2 + 24x * 2 + 9xX * 2) = 47 (80 + 30X + 48x + 18xX) = 47 Solving 80 + 30X + 48x + 18xX = 47 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + 30X + 48x + -80 + 18xX = 47 + -80 Reorder the terms: 80 + -80 + 30X + 48x + 18xX = 47 + -80 Combine like terms: 80 + -80 = 0 0 + 30X + 48x + 18xX = 47 + -80 30X + 48x + 18xX = 47 + -80 Combine like terms: 47 + -80 = -33 30X + 48x + 18xX = -33 Add '-48x' to each side of the equation. 30X + 48x + -48x + 18xX = -33 + -48x Combine like terms: 48x + -48x = 0 30X + 0 + 18xX = -33 + -48x 30X + 18xX = -33 + -48x Reorder the terms: 33 + 30X + 48x + 18xX = -33 + -48x + 33 + 48x Reorder the terms: 33 + 30X + 48x + 18xX = -33 + 33 + -48x + 48x Combine like terms: -33 + 33 = 0 33 + 30X + 48x + 18xX = 0 + -48x + 48x 33 + 30X + 48x + 18xX = -48x + 48x Combine like terms: -48x + 48x = 0 33 + 30X + 48x + 18xX = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(11 + 10X + 16x + 6xX) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(11 + 10X + 16x + 6xX)' equal to zero and attempt to solve: Simplifying 11 + 10X + 16x + 6xX = 0 Solving 11 + 10X + 16x + 6xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 10X + 16x + -11 + 6xX = 0 + -11 Reorder the terms: 11 + -11 + 10X + 16x + 6xX = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 10X + 16x + 6xX = 0 + -11 10X + 16x + 6xX = 0 + -11 Combine like terms: 0 + -11 = -11 10X + 16x + 6xX = -11 Add '-16x' to each side of the equation. 10X + 16x + -16x + 6xX = -11 + -16x Combine like terms: 16x + -16x = 0 10X + 0 + 6xX = -11 + -16x 10X + 6xX = -11 + -16x 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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