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Simplifying (X + -6)(2x + 8) = 0 Reorder the terms: (-6 + X)(2x + 8) = 0 Reorder the terms: (-6 + X)(8 + 2x) = 0 Multiply (-6 + X) * (8 + 2x) (-6(8 + 2x) + X(8 + 2x)) = 0 ((8 * -6 + 2x * -6) + X(8 + 2x)) = 0 ((-48 + -12x) + X(8 + 2x)) = 0 (-48 + -12x + (8 * X + 2x * X)) = 0 (-48 + -12x + (8X + 2xX)) = 0 Reorder the terms: (-48 + 8X + -12x + 2xX) = 0 (-48 + 8X + -12x + 2xX) = 0 Solving -48 + 8X + -12x + 2xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 8X + -12x + 48 + 2xX = 0 + 48 Reorder the terms: -48 + 48 + 8X + -12x + 2xX = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 8X + -12x + 2xX = 0 + 48 8X + -12x + 2xX = 0 + 48 Combine like terms: 0 + 48 = 48 8X + -12x + 2xX = 48 Add '12x' to each side of the equation. 8X + -12x + 12x + 2xX = 48 + 12x Combine like terms: -12x + 12x = 0 8X + 0 + 2xX = 48 + 12x 8X + 2xX = 48 + 12x Reorder the terms: -48 + 8X + -12x + 2xX = 48 + 12x + -48 + -12x Reorder the terms: -48 + 8X + -12x + 2xX = 48 + -48 + 12x + -12x Combine like terms: 48 + -48 = 0 -48 + 8X + -12x + 2xX = 0 + 12x + -12x -48 + 8X + -12x + 2xX = 12x + -12x Combine like terms: 12x + -12x = 0 -48 + 8X + -12x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + 4X + -6x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-24 + 4X + -6x + xX)' equal to zero and attempt to solve: Simplifying -24 + 4X + -6x + xX = 0 Solving -24 + 4X + -6x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 4X + -6x + 24 + xX = 0 + 24 Reorder the terms: -24 + 24 + 4X + -6x + xX = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 4X + -6x + xX = 0 + 24 4X + -6x + xX = 0 + 24 Combine like terms: 0 + 24 = 24 4X + -6x + xX = 24 Add '6x' to each side of the equation. 4X + -6x + 6x + xX = 24 + 6x Combine like terms: -6x + 6x = 0 4X + 0 + xX = 24 + 6x 4X + xX = 24 + 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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