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Simplifying 6a3b + -12a3b2 + 18a3 = 0 Reorder the terms: 18a3 + 6a3b + -12a3b2 = 0 Solving 18a3 + 6a3b + -12a3b2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '6a3'. 6a3(3 + b + -2b2) = 0 Factor a trinomial. 6a3((3 + -2b)(1 + b)) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'a3' equal to zero and attempt to solve: Simplifying a3 = 0 Solving a3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3 = 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 '(3 + -2b)' equal to zero and attempt to solve: Simplifying 3 + -2b = 0 Solving 3 + -2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2b = 0 + -3 -2b = 0 + -3 Combine like terms: 0 + -3 = -3 -2b = -3 Add '2b' to each side of the equation. -2b + 2b = -3 + 2b Combine like terms: -2b + 2b = 0 0 = -3 + 2b Simplifying 0 = -3 + 2b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + b)' equal to zero and attempt to solve: Simplifying 1 + b = 0 Solving 1 + b = 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 + b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + b = 0 + -1 b = 0 + -1 Combine like terms: 0 + -1 = -1 b = -1 Add '-1b' to each side of the equation. b + -1b = -1 + -1b Combine like terms: b + -1b = 0 0 = -1 + -1b Simplifying 0 = -1 + -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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