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Simplifying 0 = 3a + 5ab Solving 0 = 3a + 5ab Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 0 + -3a = 3a + -3a + 5ab Remove the zero: -3a = 3a + -3a + 5ab Combine like terms: 3a + -3a = 0 -3a = 0 + 5ab -3a = 5ab Add '-5ab' to each side of the equation. -3a + -5ab = 5ab + -5ab Combine like terms: 5ab + -5ab = 0 -3a + -5ab = 0 Factor out the Greatest Common Factor (GCF), '-1a'. -1a(3 + 5b) = 0 Ignore the factor -1.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 '(3 + 5b)' equal to zero and attempt to solve: Simplifying 3 + 5b = 0 Solving 3 + 5b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5b = 0 + -3 5b = 0 + -3 Combine like terms: 0 + -3 = -3 5b = -3 Add '-5b' to each side of the equation. 5b + -5b = -3 + -5b Combine like terms: 5b + -5b = 0 0 = -3 + -5b Simplifying 0 = -3 + -5b 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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