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Simplifying 2a(4c + 7b) = 0 Reorder the terms: 2a(7b + 4c) = 0 (7b * 2a + 4c * 2a) = 0 (14ab + 8ac) = 0 Solving 14ab + 8ac = 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(7b + 4c) = 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 '(7b + 4c)' equal to zero and attempt to solve: Simplifying 7b + 4c = 0 Solving 7b + 4c = 0 Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. 7b + -7b + 4c = 0 + -7b Combine like terms: 7b + -7b = 0 0 + 4c = 0 + -7b 4c = 0 + -7b Remove the zero: 4c = -7b Add '-4c' to each side of the equation. 4c + -4c = -7b + -4c Combine like terms: 4c + -4c = 0 0 = -7b + -4c Simplifying 0 = -7b + -4c 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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