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