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Simplifying 3a2b2 + 18ab3 + a2b2 = 0 Reorder the terms: 18ab3 + 3a2b2 + a2b2 = 0 Combine like terms: 3a2b2 + a2b2 = 4a2b2 18ab3 + 4a2b2 = 0 Solving 18ab3 + 4a2b2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2ab2'. 2ab2(9b + 2a) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ab2' equal to zero and attempt to solve: Simplifying ab2 = 0 Solving ab2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab2 = 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 '(9b + 2a)' equal to zero and attempt to solve: Simplifying 9b + 2a = 0 Reorder the terms: 2a + 9b = 0 Solving 2a + 9b = 0 Move all terms containing a to the left, all other terms to the right. Add '-9b' to each side of the equation. 2a + 9b + -9b = 0 + -9b Combine like terms: 9b + -9b = 0 2a + 0 = 0 + -9b 2a = 0 + -9b Remove the zero: 2a = -9b Divide each side by '2'. a = -4.5b Simplifying a = -4.5bSolution
a = {-4.5b}
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