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Simplifying (X + 6)(6x + -6) = 0 Reorder the terms: (6 + X)(6x + -6) = 0 Reorder the terms: (6 + X)(-6 + 6x) = 0 Multiply (6 + X) * (-6 + 6x) (6(-6 + 6x) + X(-6 + 6x)) = 0 ((-6 * 6 + 6x * 6) + X(-6 + 6x)) = 0 ((-36 + 36x) + X(-6 + 6x)) = 0 (-36 + 36x + (-6 * X + 6x * X)) = 0 (-36 + 36x + (-6X + 6xX)) = 0 Reorder the terms: (-36 + -6X + 36x + 6xX) = 0 (-36 + -6X + 36x + 6xX) = 0 Solving -36 + -6X + 36x + 6xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '36' to each side of the equation. -36 + -6X + 36x + 36 + 6xX = 0 + 36 Reorder the terms: -36 + 36 + -6X + 36x + 6xX = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -6X + 36x + 6xX = 0 + 36 -6X + 36x + 6xX = 0 + 36 Combine like terms: 0 + 36 = 36 -6X + 36x + 6xX = 36 Add '-36x' to each side of the equation. -6X + 36x + -36x + 6xX = 36 + -36x Combine like terms: 36x + -36x = 0 -6X + 0 + 6xX = 36 + -36x -6X + 6xX = 36 + -36x Reorder the terms: -36 + -6X + 36x + 6xX = 36 + -36x + -36 + 36x Reorder the terms: -36 + -6X + 36x + 6xX = 36 + -36 + -36x + 36x Combine like terms: 36 + -36 = 0 -36 + -6X + 36x + 6xX = 0 + -36x + 36x -36 + -6X + 36x + 6xX = -36x + 36x Combine like terms: -36x + 36x = 0 -36 + -6X + 36x + 6xX = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-6 + -1X + 6x + xX) = 0 Ignore the factor 6.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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