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Simplifying a[r + v + z] + 3av = 0 [r * a + v * a + z * a] + 3av = 0 [ar + av + az] + 3av = 0 Reorder the terms: ar + av + 3av + az = 0 Combine like terms: av + 3av = 4av ar + 4av + az = 0 Solving ar + 4av + 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(r + 4v + 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 '(r + 4v + z)' equal to zero and attempt to solve: Simplifying r + 4v + z = 0 Solving r + 4v + z = 0 Move all terms containing a to the left, all other terms to the right. Add '-1r' to each side of the equation. r + 4v + -1r + z = 0 + -1r Reorder the terms: r + -1r + 4v + z = 0 + -1r Combine like terms: r + -1r = 0 0 + 4v + z = 0 + -1r 4v + z = 0 + -1r Remove the zero: 4v + z = -1r Add '-4v' to each side of the equation. 4v + -4v + z = -1r + -4v Combine like terms: 4v + -4v = 0 0 + z = -1r + -4v z = -1r + -4v Add '-1z' to each side of the equation. z + -1z = -1r + -4v + -1z Combine like terms: z + -1z = 0 0 = -1r + -4v + -1z Simplifying 0 = -1r + -4v + -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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