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Simplifying 12a2b + 16av = 0 Reorder the terms: 16av + 12a2b = 0 Solving 16av + 12a2b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a'. 4a(4v + 3ab) = 0 Ignore the factor 4.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 '(4v + 3ab)' equal to zero and attempt to solve: Simplifying 4v + 3ab = 0 Reorder the terms: 3ab + 4v = 0 Solving 3ab + 4v = 0 Move all terms containing a to the left, all other terms to the right. Add '-4v' to each side of the equation. 3ab + 4v + -4v = 0 + -4v Combine like terms: 4v + -4v = 0 3ab + 0 = 0 + -4v 3ab = 0 + -4v Remove the zero: 3ab = -4v Divide each side by '3b'. a = -1.333333333b-1v Simplifying a = -1.333333333b-1vSolution
a = {0, -1.333333333b-1v}
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