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Simplifying (X + -9)(2x + 6) = 0 Reorder the terms: (-9 + X)(2x + 6) = 0 Reorder the terms: (-9 + X)(6 + 2x) = 0 Multiply (-9 + X) * (6 + 2x) (-9(6 + 2x) + X(6 + 2x)) = 0 ((6 * -9 + 2x * -9) + X(6 + 2x)) = 0 ((-54 + -18x) + X(6 + 2x)) = 0 (-54 + -18x + (6 * X + 2x * X)) = 0 (-54 + -18x + (6X + 2xX)) = 0 Reorder the terms: (-54 + 6X + -18x + 2xX) = 0 (-54 + 6X + -18x + 2xX) = 0 Solving -54 + 6X + -18x + 2xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 6X + -18x + 54 + 2xX = 0 + 54 Reorder the terms: -54 + 54 + 6X + -18x + 2xX = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 6X + -18x + 2xX = 0 + 54 6X + -18x + 2xX = 0 + 54 Combine like terms: 0 + 54 = 54 6X + -18x + 2xX = 54 Add '18x' to each side of the equation. 6X + -18x + 18x + 2xX = 54 + 18x Combine like terms: -18x + 18x = 0 6X + 0 + 2xX = 54 + 18x 6X + 2xX = 54 + 18x Reorder the terms: -54 + 6X + -18x + 2xX = 54 + 18x + -54 + -18x Reorder the terms: -54 + 6X + -18x + 2xX = 54 + -54 + 18x + -18x Combine like terms: 54 + -54 = 0 -54 + 6X + -18x + 2xX = 0 + 18x + -18x -54 + 6X + -18x + 2xX = 18x + -18x Combine like terms: 18x + -18x = 0 -54 + 6X + -18x + 2xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-27 + 3X + -9x + xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-27 + 3X + -9x + xX)' equal to zero and attempt to solve: Simplifying -27 + 3X + -9x + xX = 0 Solving -27 + 3X + -9x + xX = 0 Move all terms containing X to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 3X + -9x + 27 + xX = 0 + 27 Reorder the terms: -27 + 27 + 3X + -9x + xX = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 3X + -9x + xX = 0 + 27 3X + -9x + xX = 0 + 27 Combine like terms: 0 + 27 = 27 3X + -9x + xX = 27 Add '9x' to each side of the equation. 3X + -9x + 9x + xX = 27 + 9x Combine like terms: -9x + 9x = 0 3X + 0 + xX = 27 + 9x 3X + xX = 27 + 9x 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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