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