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Simplifying (X + 9)(3x + -9) = 0 Reorder the terms: (9 + X)(3x + -9) = 0 Reorder the terms: (9 + X)(-9 + 3x) = 0 Multiply (9 + X) * (-9 + 3x) (9(-9 + 3x) + X(-9 + 3x)) = 0 ((-9 * 9 + 3x * 9) + X(-9 + 3x)) = 0 ((-81 + 27x) + X(-9 + 3x)) = 0 (-81 + 27x + (-9 * X + 3x * X)) = 0 (-81 + 27x + (-9X + 3xX)) = 0 Reorder the terms: (-81 + -9X + 27x + 3xX) = 0 (-81 + -9X + 27x + 3xX) = 0 Solving -81 + -9X + 27x + 3xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '81' to each side of the equation. -81 + -9X + 27x + 81 + 3xX = 0 + 81 Reorder the terms: -81 + 81 + -9X + 27x + 3xX = 0 + 81 Combine like terms: -81 + 81 = 0 0 + -9X + 27x + 3xX = 0 + 81 -9X + 27x + 3xX = 0 + 81 Combine like terms: 0 + 81 = 81 -9X + 27x + 3xX = 81 Add '-27x' to each side of the equation. -9X + 27x + -27x + 3xX = 81 + -27x Combine like terms: 27x + -27x = 0 -9X + 0 + 3xX = 81 + -27x -9X + 3xX = 81 + -27x Reorder the terms: -81 + -9X + 27x + 3xX = 81 + -27x + -81 + 27x Reorder the terms: -81 + -9X + 27x + 3xX = 81 + -81 + -27x + 27x Combine like terms: 81 + -81 = 0 -81 + -9X + 27x + 3xX = 0 + -27x + 27x -81 + -9X + 27x + 3xX = -27x + 27x Combine like terms: -27x + 27x = 0 -81 + -9X + 27x + 3xX = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-27 + -3X + 9x + xX) = 0 Ignore the factor 3.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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