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Simplifying 3a + 5b * a * b = 0 Multiply b * a 3a + 5ab * b = 0 Multiply ab * b 3a + 5ab2 = 0 Solving 3a + 5ab2 = 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), 'a'. a(3 + 5b2) = 0Subproblem 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 + 5b2)' equal to zero and attempt to solve: Simplifying 3 + 5b2 = 0 Solving 3 + 5b2 = 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 + 5b2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5b2 = 0 + -3 5b2 = 0 + -3 Combine like terms: 0 + -3 = -3 5b2 = -3 Add '-5b2' to each side of the equation. 5b2 + -5b2 = -3 + -5b2 Combine like terms: 5b2 + -5b2 = 0 0 = -3 + -5b2 Simplifying 0 = -3 + -5b2 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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