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Simplifying (X + -6)(2x + 18) = 0 Reorder the terms: (-6 + X)(2x + 18) = 0 Reorder the terms: (-6 + X)(18 + 2x) = 0 Multiply (-6 + X) * (18 + 2x) (-6(18 + 2x) + X(18 + 2x)) = 0 ((18 * -6 + 2x * -6) + X(18 + 2x)) = 0 ((-108 + -12x) + X(18 + 2x)) = 0 (-108 + -12x + (18 * X + 2x * X)) = 0 (-108 + -12x + (18X + 2xX)) = 0 Reorder the terms: (-108 + 18X + -12x + 2xX) = 0 (-108 + 18X + -12x + 2xX) = 0 Solving -108 + 18X + -12x + 2xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '108' to each side of the equation. -108 + 18X + -12x + 108 + 2xX = 0 + 108 Reorder the terms: -108 + 108 + 18X + -12x + 2xX = 0 + 108 Combine like terms: -108 + 108 = 0 0 + 18X + -12x + 2xX = 0 + 108 18X + -12x + 2xX = 0 + 108 Combine like terms: 0 + 108 = 108 18X + -12x + 2xX = 108 Add '12x' to each side of the equation. 18X + -12x + 12x + 2xX = 108 + 12x Combine like terms: -12x + 12x = 0 18X + 0 + 2xX = 108 + 12x 18X + 2xX = 108 + 12x Reorder the terms: -108 + 18X + -12x + 2xX = 108 + 12x + -108 + -12x Reorder the terms: -108 + 18X + -12x + 2xX = 108 + -108 + 12x + -12x Combine like terms: 108 + -108 = 0 -108 + 18X + -12x + 2xX = 0 + 12x + -12x -108 + 18X + -12x + 2xX = 12x + -12x Combine like terms: 12x + -12x = 0 -108 + 18X + -12x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-54 + 9X + -6x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-54 + 9X + -6x + xX)' equal to zero and attempt to solve: Simplifying -54 + 9X + -6x + xX = 0 Solving -54 + 9X + -6x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 9X + -6x + 54 + xX = 0 + 54 Reorder the terms: -54 + 54 + 9X + -6x + xX = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 9X + -6x + xX = 0 + 54 9X + -6x + xX = 0 + 54 Combine like terms: 0 + 54 = 54 9X + -6x + xX = 54 Add '6x' to each side of the equation. 9X + -6x + 6x + xX = 54 + 6x Combine like terms: -6x + 6x = 0 9X + 0 + xX = 54 + 6x 9X + xX = 54 + 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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