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Simplifying 5a2b3 + -45ab + 15a = 0 Reorder the terms: 15a + -45ab + 5a2b3 = 0 Solving 15a + -45ab + 5a2b3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a'. 5a(3 + -9b + ab3) = 0 Ignore the factor 5.Subproblem 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 + -9b + ab3)' equal to zero and attempt to solve: Simplifying 3 + -9b + ab3 = 0 Reorder the terms: 3 + ab3 + -9b = 0 Solving 3 + ab3 + -9b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + ab3 + -3 + -9b = 0 + -3 Reorder the terms: 3 + -3 + ab3 + -9b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + ab3 + -9b = 0 + -3 ab3 + -9b = 0 + -3 Combine like terms: 0 + -3 = -3 ab3 + -9b = -3 Add '9b' to each side of the equation. ab3 + -9b + 9b = -3 + 9b Combine like terms: -9b + 9b = 0 ab3 + 0 = -3 + 9b ab3 = -3 + 9b Divide each side by 'b3'. a = -3b-3 + 9b-2 Simplifying a = -3b-3 + 9b-2Solution
a = {0, -3b-3 + 9b-2}
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