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Simplifying 6a(2b + 5c) = 0 (2b * 6a + 5c * 6a) = 0 (12ab + 30ac) = 0 Solving 12ab + 30ac = 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), '6a'. 6a(2b + 5c) = 0 Ignore the factor 6.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 '(2b + 5c)' equal to zero and attempt to solve: Simplifying 2b + 5c = 0 Solving 2b + 5c = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 2b + -2b + 5c = 0 + -2b Combine like terms: 2b + -2b = 0 0 + 5c = 0 + -2b 5c = 0 + -2b Remove the zero: 5c = -2b Add '-5c' to each side of the equation. 5c + -5c = -2b + -5c Combine like terms: 5c + -5c = 0 0 = -2b + -5c Simplifying 0 = -2b + -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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