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Simplifying 5az + 2a(3y + -1z) = 0 5az + (3y * 2a + -1z * 2a) = 0 5az + (6ay + -2az) = 0 Reorder the terms: 6ay + 5az + -2az = 0 Combine like terms: 5az + -2az = 3az 6ay + 3az = 0 Solving 6ay + 3az = 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), '3a'. 3a(2y + z) = 0 Ignore the factor 3.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 '(2y + z)' equal to zero and attempt to solve: Simplifying 2y + z = 0 Solving 2y + z = 0 Move all terms containing a to the left, all other terms to the right. Add '-2y' to each side of the equation. 2y + -2y + z = 0 + -2y Combine like terms: 2y + -2y = 0 0 + z = 0 + -2y z = 0 + -2y Remove the zero: z = -2y Add '-1z' to each side of the equation. z + -1z = -2y + -1z Combine like terms: z + -1z = 0 0 = -2y + -1z Simplifying 0 = -2y + -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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