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Simplifying (X + 4)(2x + 6) = 110 Reorder the terms: (4 + X)(2x + 6) = 110 Reorder the terms: (4 + X)(6 + 2x) = 110 Multiply (4 + X) * (6 + 2x) (4(6 + 2x) + X(6 + 2x)) = 110 ((6 * 4 + 2x * 4) + X(6 + 2x)) = 110 ((24 + 8x) + X(6 + 2x)) = 110 (24 + 8x + (6 * X + 2x * X)) = 110 (24 + 8x + (6X + 2xX)) = 110 Reorder the terms: (24 + 6X + 8x + 2xX) = 110 (24 + 6X + 8x + 2xX) = 110 Solving 24 + 6X + 8x + 2xX = 110 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 6X + 8x + -24 + 2xX = 110 + -24 Reorder the terms: 24 + -24 + 6X + 8x + 2xX = 110 + -24 Combine like terms: 24 + -24 = 0 0 + 6X + 8x + 2xX = 110 + -24 6X + 8x + 2xX = 110 + -24 Combine like terms: 110 + -24 = 86 6X + 8x + 2xX = 86 Add '-8x' to each side of the equation. 6X + 8x + -8x + 2xX = 86 + -8x Combine like terms: 8x + -8x = 0 6X + 0 + 2xX = 86 + -8x 6X + 2xX = 86 + -8x Reorder the terms: -86 + 6X + 8x + 2xX = 86 + -8x + -86 + 8x Reorder the terms: -86 + 6X + 8x + 2xX = 86 + -86 + -8x + 8x Combine like terms: 86 + -86 = 0 -86 + 6X + 8x + 2xX = 0 + -8x + 8x -86 + 6X + 8x + 2xX = -8x + 8x Combine like terms: -8x + 8x = 0 -86 + 6X + 8x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-43 + 3X + 4x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-43 + 3X + 4x + xX)' equal to zero and attempt to solve: Simplifying -43 + 3X + 4x + xX = 0 Solving -43 + 3X + 4x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '43' to each side of the equation. -43 + 3X + 4x + 43 + xX = 0 + 43 Reorder the terms: -43 + 43 + 3X + 4x + xX = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 3X + 4x + xX = 0 + 43 3X + 4x + xX = 0 + 43 Combine like terms: 0 + 43 = 43 3X + 4x + xX = 43 Add '-4x' to each side of the equation. 3X + 4x + -4x + xX = 43 + -4x Combine like terms: 4x + -4x = 0 3X + 0 + xX = 43 + -4x 3X + xX = 43 + -4x 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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