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