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Simplifying 3a4b2 + -2a3b3 + 5a3b2 = 0 Reorder the terms: 5a3b2 + -2a3b3 + 3a4b2 = 0 Solving 5a3b2 + -2a3b3 + 3a4b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a3b2'. a3b2(5 + -2b + 3a) = 0Subproblem 1
Set the factor 'a3b2' equal to zero and attempt to solve: Simplifying a3b2 = 0 Solving a3b2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b2 = 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 '(5 + -2b + 3a)' equal to zero and attempt to solve: Simplifying 5 + -2b + 3a = 0 Reorder the terms: 5 + 3a + -2b = 0 Solving 5 + 3a + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3a + -5 + -2b = 0 + -5 Reorder the terms: 5 + -5 + 3a + -2b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3a + -2b = 0 + -5 3a + -2b = 0 + -5 Combine like terms: 0 + -5 = -5 3a + -2b = -5 Add '2b' to each side of the equation. 3a + -2b + 2b = -5 + 2b Combine like terms: -2b + 2b = 0 3a + 0 = -5 + 2b 3a = -5 + 2b Divide each side by '3'. a = -1.666666667 + 0.6666666667b Simplifying a = -1.666666667 + 0.6666666667bSolution
a = {-1.666666667 + 0.6666666667b}
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