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Simplifying 9xy + 6xz + 12x = 0 Reorder the terms: 12x + 9xy + 6xz = 0 Solving 12x + 9xy + 6xz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3x'. 3x(4 + 3y + 2z) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(4 + 3y + 2z)' equal to zero and attempt to solve: Simplifying 4 + 3y + 2z = 0 Solving 4 + 3y + 2z = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 3y + -4 + 2z = 0 + -4 Reorder the terms: 4 + -4 + 3y + 2z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3y + 2z = 0 + -4 3y + 2z = 0 + -4 Combine like terms: 0 + -4 = -4 3y + 2z = -4 Add '-3y' to each side of the equation. 3y + -3y + 2z = -4 + -3y Combine like terms: 3y + -3y = 0 0 + 2z = -4 + -3y 2z = -4 + -3y Add '-2z' to each side of the equation. 2z + -2z = -4 + -3y + -2z Combine like terms: 2z + -2z = 0 0 = -4 + -3y + -2z Simplifying 0 = -4 + -3y + -2z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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