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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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