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Simplifying (X + 3)(x + 5x + -2) = 0 Reorder the terms: (3 + X)(x + 5x + -2) = 0 Reorder the terms: (3 + X)(-2 + x + 5x) = 0 Combine like terms: x + 5x = 6x (3 + X)(-2 + 6x) = 0 Multiply (3 + X) * (-2 + 6x) (3(-2 + 6x) + X(-2 + 6x)) = 0 ((-2 * 3 + 6x * 3) + X(-2 + 6x)) = 0 ((-6 + 18x) + X(-2 + 6x)) = 0 (-6 + 18x + (-2 * X + 6x * X)) = 0 (-6 + 18x + (-2X + 6xX)) = 0 Reorder the terms: (-6 + -2X + 18x + 6xX) = 0 (-6 + -2X + 18x + 6xX) = 0 Solving -6 + -2X + 18x + 6xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -2X + 18x + 6 + 6xX = 0 + 6 Reorder the terms: -6 + 6 + -2X + 18x + 6xX = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2X + 18x + 6xX = 0 + 6 -2X + 18x + 6xX = 0 + 6 Combine like terms: 0 + 6 = 6 -2X + 18x + 6xX = 6 Add '-18x' to each side of the equation. -2X + 18x + -18x + 6xX = 6 + -18x Combine like terms: 18x + -18x = 0 -2X + 0 + 6xX = 6 + -18x -2X + 6xX = 6 + -18x Reorder the terms: -6 + -2X + 18x + 6xX = 6 + -18x + -6 + 18x Reorder the terms: -6 + -2X + 18x + 6xX = 6 + -6 + -18x + 18x Combine like terms: 6 + -6 = 0 -6 + -2X + 18x + 6xX = 0 + -18x + 18x -6 + -2X + 18x + 6xX = -18x + 18x Combine like terms: -18x + 18x = 0 -6 + -2X + 18x + 6xX = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + -1X + 9x + 3xX) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -1X + 9x + 3xX)' equal to zero and attempt to solve: Simplifying -3 + -1X + 9x + 3xX = 0 Solving -3 + -1X + 9x + 3xX = 0 Move all terms containing X to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1X + 9x + 3 + 3xX = 0 + 3 Reorder the terms: -3 + 3 + -1X + 9x + 3xX = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1X + 9x + 3xX = 0 + 3 -1X + 9x + 3xX = 0 + 3 Combine like terms: 0 + 3 = 3 -1X + 9x + 3xX = 3 Add '-9x' to each side of the equation. -1X + 9x + -9x + 3xX = 3 + -9x Combine like terms: 9x + -9x = 0 -1X + 0 + 3xX = 3 + -9x -1X + 3xX = 3 + -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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