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Simplifying au + av + -1aw = 0 Solving au + av + -1aw = 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(u + v + -1w) = 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 '(u + v + -1w)' equal to zero and attempt to solve: Simplifying u + v + -1w = 0 Solving u + v + -1w = 0 Move all terms containing a to the left, all other terms to the right. Add '-1u' to each side of the equation. u + v + -1u + -1w = 0 + -1u Reorder the terms: u + -1u + v + -1w = 0 + -1u Combine like terms: u + -1u = 0 0 + v + -1w = 0 + -1u v + -1w = 0 + -1u Remove the zero: v + -1w = -1u Add '-1v' to each side of the equation. v + -1v + -1w = -1u + -1v Combine like terms: v + -1v = 0 0 + -1w = -1u + -1v -1w = -1u + -1v Add 'w' to each side of the equation. -1w + w = -1u + -1v + w Combine like terms: -1w + w = 0 0 = -1u + -1v + w Simplifying 0 = -1u + -1v + w 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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