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Simplifying 2a(3b + 5c) = 0 (3b * 2a + 5c * 2a) = 0 (6ab + 10ac) = 0 Solving 6ab + 10ac = 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), '2a'. 2a(3b + 5c) = 0 Ignore the factor 2.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 '(3b + 5c)' equal to zero and attempt to solve: Simplifying 3b + 5c = 0 Solving 3b + 5c = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. 3b + -3b + 5c = 0 + -3b Combine like terms: 3b + -3b = 0 0 + 5c = 0 + -3b 5c = 0 + -3b Remove the zero: 5c = -3b Add '-5c' to each side of the equation. 5c + -5c = -3b + -5c Combine like terms: 5c + -5c = 0 0 = -3b + -5c Simplifying 0 = -3b + -5c 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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