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Simplifying (X + 6)(2x + 4) = 936 Reorder the terms: (6 + X)(2x + 4) = 936 Reorder the terms: (6 + X)(4 + 2x) = 936 Multiply (6 + X) * (4 + 2x) (6(4 + 2x) + X(4 + 2x)) = 936 ((4 * 6 + 2x * 6) + X(4 + 2x)) = 936 ((24 + 12x) + X(4 + 2x)) = 936 (24 + 12x + (4 * X + 2x * X)) = 936 (24 + 12x + (4X + 2xX)) = 936 Reorder the terms: (24 + 4X + 12x + 2xX) = 936 (24 + 4X + 12x + 2xX) = 936 Solving 24 + 4X + 12x + 2xX = 936 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 + 4X + 12x + -24 + 2xX = 936 + -24 Reorder the terms: 24 + -24 + 4X + 12x + 2xX = 936 + -24 Combine like terms: 24 + -24 = 0 0 + 4X + 12x + 2xX = 936 + -24 4X + 12x + 2xX = 936 + -24 Combine like terms: 936 + -24 = 912 4X + 12x + 2xX = 912 Add '-12x' to each side of the equation. 4X + 12x + -12x + 2xX = 912 + -12x Combine like terms: 12x + -12x = 0 4X + 0 + 2xX = 912 + -12x 4X + 2xX = 912 + -12x Reorder the terms: -912 + 4X + 12x + 2xX = 912 + -12x + -912 + 12x Reorder the terms: -912 + 4X + 12x + 2xX = 912 + -912 + -12x + 12x Combine like terms: 912 + -912 = 0 -912 + 4X + 12x + 2xX = 0 + -12x + 12x -912 + 4X + 12x + 2xX = -12x + 12x Combine like terms: -12x + 12x = 0 -912 + 4X + 12x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-456 + 2X + 6x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-456 + 2X + 6x + xX)' equal to zero and attempt to solve: Simplifying -456 + 2X + 6x + xX = 0 Solving -456 + 2X + 6x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '456' to each side of the equation. -456 + 2X + 6x + 456 + xX = 0 + 456 Reorder the terms: -456 + 456 + 2X + 6x + xX = 0 + 456 Combine like terms: -456 + 456 = 0 0 + 2X + 6x + xX = 0 + 456 2X + 6x + xX = 0 + 456 Combine like terms: 0 + 456 = 456 2X + 6x + xX = 456 Add '-6x' to each side of the equation. 2X + 6x + -6x + xX = 456 + -6x Combine like terms: 6x + -6x = 0 2X + 0 + xX = 456 + -6x 2X + xX = 456 + -6x 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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