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Simplifying 15a3b2 + -5a2b2 = 0 Reorder the terms: -5a2b2 + 15a3b2 = 0 Solving -5a2b2 + 15a3b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a2b2'. 5a2b2(-1 + 3a) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'a2b2' equal to zero and attempt to solve: Simplifying a2b2 = 0 Solving a2b2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + 3a)' equal to zero and attempt to solve: Simplifying -1 + 3a = 0 Solving -1 + 3a = 0 Move all terms containing a to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3a = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3a = 0 + 1 3a = 0 + 1 Combine like terms: 0 + 1 = 1 3a = 1 Divide each side by '3'. a = 0.3333333333 Simplifying a = 0.3333333333Solution
a = {0.3333333333}
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