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Simplifying a6 + -3a3b + -54b2 = 0 Reorder the terms: -3a3b + a6 + -54b2 = 0 Solving -3a3b + a6 + -54b2 = 0 Solving for variable 'a'. Factor a trinomial. (a3 + -9b)(a3 + 6b) = 0Subproblem 1
Set the factor '(a3 + -9b)' equal to zero and attempt to solve: Simplifying a3 + -9b = 0 Solving a3 + -9b = 0 Move all terms containing a to the left, all other terms to the right. Add '9b' to each side of the equation. a3 + -9b + 9b = 0 + 9b Combine like terms: -9b + 9b = 0 a3 + 0 = 0 + 9b a3 = 0 + 9b Remove the zero: a3 = 9b Simplifying a3 = 9b 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 '(a3 + 6b)' equal to zero and attempt to solve: Simplifying a3 + 6b = 0 Solving a3 + 6b = 0 Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. a3 + 6b + -6b = 0 + -6b Combine like terms: 6b + -6b = 0 a3 + 0 = 0 + -6b a3 = 0 + -6b Remove the zero: a3 = -6b Simplifying a3 = -6b 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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