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Simplifying 24a3b + -32a2b2 = 0 Reorder the terms: -32a2b2 + 24a3b = 0 Solving -32a2b2 + 24a3b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '8a2b'. 8a2b(-4b + 3a) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'a2b' equal to zero and attempt to solve: Simplifying a2b = 0 Solving a2b = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2b = 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 '(-4b + 3a)' equal to zero and attempt to solve: Simplifying -4b + 3a = 0 Reorder the terms: 3a + -4b = 0 Solving 3a + -4b = 0 Move all terms containing a to the left, all other terms to the right. Add '4b' to each side of the equation. 3a + -4b + 4b = 0 + 4b Combine like terms: -4b + 4b = 0 3a + 0 = 0 + 4b 3a = 0 + 4b Remove the zero: 3a = 4b Divide each side by '3'. a = 1.333333333b Simplifying a = 1.333333333bSolution
a = {1.333333333b}
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