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Simplifying 2a(4b + 5) = 0 Reorder the terms: 2a(5 + 4b) = 0 (5 * 2a + 4b * 2a) = 0 (10a + 8ab) = 0 Solving 10a + 8ab = 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(5 + 4b) = 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 '(5 + 4b)' equal to zero and attempt to solve: Simplifying 5 + 4b = 0 Solving 5 + 4b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4b = 0 + -5 4b = 0 + -5 Combine like terms: 0 + -5 = -5 4b = -5 Add '-4b' to each side of the equation. 4b + -4b = -5 + -4b Combine like terms: 4b + -4b = 0 0 = -5 + -4b Simplifying 0 = -5 + -4b 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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