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Simplifying ax + any + az = 0 Reorder the terms: any + ax + az = 0 Solving any + ax + az = 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), 'a'. a(ny + x + z) = 0Subproblem 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 '(ny + x + z)' equal to zero and attempt to solve: Simplifying ny + x + z = 0 Solving ny + x + z = 0 Move all terms containing a to the left, all other terms to the right. Add '-1ny' to each side of the equation. ny + x + -1ny + z = 0 + -1ny Reorder the terms: ny + -1ny + x + z = 0 + -1ny Combine like terms: ny + -1ny = 0 0 + x + z = 0 + -1ny x + z = 0 + -1ny Remove the zero: x + z = -1ny Add '-1x' to each side of the equation. x + -1x + z = -1ny + -1x Combine like terms: x + -1x = 0 0 + z = -1ny + -1x z = -1ny + -1x Add '-1z' to each side of the equation. z + -1z = -1ny + -1x + -1z Combine like terms: z + -1z = 0 0 = -1ny + -1x + -1z Simplifying 0 = -1ny + -1x + -1z 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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