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Simplifying (3x + 1)(4X + 2) = 10 Reorder the terms: (1 + 3x)(4X + 2) = 10 Reorder the terms: (1 + 3x)(2 + 4X) = 10 Multiply (1 + 3x) * (2 + 4X) (1(2 + 4X) + 3x * (2 + 4X)) = 10 ((2 * 1 + 4X * 1) + 3x * (2 + 4X)) = 10 ((2 + 4X) + 3x * (2 + 4X)) = 10 (2 + 4X + (2 * 3x + 4X * 3x)) = 10 (2 + 4X + (6x + 12xX)) = 10 (2 + 4X + 6x + 12xX) = 10 Solving 2 + 4X + 6x + 12xX = 10 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 4X + 6x + -2 + 12xX = 10 + -2 Reorder the terms: 2 + -2 + 4X + 6x + 12xX = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 4X + 6x + 12xX = 10 + -2 4X + 6x + 12xX = 10 + -2 Combine like terms: 10 + -2 = 8 4X + 6x + 12xX = 8 Add '-6x' to each side of the equation. 4X + 6x + -6x + 12xX = 8 + -6x Combine like terms: 6x + -6x = 0 4X + 0 + 12xX = 8 + -6x 4X + 12xX = 8 + -6x Reorder the terms: -8 + 4X + 6x + 12xX = 8 + -6x + -8 + 6x Reorder the terms: -8 + 4X + 6x + 12xX = 8 + -8 + -6x + 6x Combine like terms: 8 + -8 = 0 -8 + 4X + 6x + 12xX = 0 + -6x + 6x -8 + 4X + 6x + 12xX = -6x + 6x Combine like terms: -6x + 6x = 0 -8 + 4X + 6x + 12xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 2X + 3x + 6xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + 2X + 3x + 6xX)' equal to zero and attempt to solve: Simplifying -4 + 2X + 3x + 6xX = 0 Solving -4 + 2X + 3x + 6xX = 0 Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2X + 3x + 4 + 6xX = 0 + 4 Reorder the terms: -4 + 4 + 2X + 3x + 6xX = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2X + 3x + 6xX = 0 + 4 2X + 3x + 6xX = 0 + 4 Combine like terms: 0 + 4 = 4 2X + 3x + 6xX = 4 Add '-3x' to each side of the equation. 2X + 3x + -3x + 6xX = 4 + -3x Combine like terms: 3x + -3x = 0 2X + 0 + 6xX = 4 + -3x 2X + 6xX = 4 + -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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