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Simplifying 7au + 3av + 90au + 3av = 0 Reorder the terms: 7au + 90au + 3av + 3av = 0 Combine like terms: 7au + 90au = 97au 97au + 3av + 3av = 0 Combine like terms: 3av + 3av = 6av 97au + 6av = 0 Solving 97au + 6av = 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(97u + 6v) = 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 '(97u + 6v)' equal to zero and attempt to solve: Simplifying 97u + 6v = 0 Solving 97u + 6v = 0 Move all terms containing a to the left, all other terms to the right. Add '-97u' to each side of the equation. 97u + -97u + 6v = 0 + -97u Combine like terms: 97u + -97u = 0 0 + 6v = 0 + -97u 6v = 0 + -97u Remove the zero: 6v = -97u Add '-6v' to each side of the equation. 6v + -6v = -97u + -6v Combine like terms: 6v + -6v = 0 0 = -97u + -6v Simplifying 0 = -97u + -6v 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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